Question 1164649
100 euros is equivalent to:
133.8 us dollars
89.9 british pounds
143.2 australian dollars
4239.6 russian rubles


they're all equal to 100 euros, so we can compare them directly by eliminating the middle man.


for example:
let e = 100 euros
let r = equivalent number of russian rubles
let u = equivalent number of us dollars


ratio of u to e is equal to u/e.
ratio of r to e is equal to r/e.
ratio of u to r is equal to (u/e)/(r/e) which is equal to (u/e) * (e/r) which makes it equal to u/r.
ratio of r to us is equal to (r/e)/(u/e) which is equal to (r/e) * (e/u) which makes it equal to r/u.


with that in mind, we should be able to answer the questions directly without requiring the intervention of the middle man of euros.


the questions are:


1) 45 British pounds is approximately to how many russian ruble?


to answer this question, we need to know the number of russian rubles per british pound.


that ratio would be 4239.6 / 89.9 


45 british pound is therefore equivalent to 45 * 4239.6 / 89.9 = 2122.157953 russian rubles.




2) Approximately how many Euros will you get for 100 Australian Dollars?


100 euros is equivalent to 143.2 australian dollars.


to answer this question, we need to know the number of euros per australian dollar.


that ratio would be 100 / 143.2


100 australian dollars is therefore equivalent to 100 * 100 / 143.2 = 69.83240223 euros.


3) Approximately how many US Dollars will you get for 48 Australian Dollars?


to answer this question, we need to know the number of us dollars per australian dollar.


that ratio would be 133.8 / 143.2.


48 australian dollars is therefore equivalent to 48 * 133.8 / 143.2 = 44.87916201 us dollars.


note that these are not the current exchange rates.


the current exchange rates for 100 euros is:
us dollar 117.881
british pound 90.8688
australian dollar 162.609
russian ruble 8933.13


i used the current exchange rates to confirm the arithmetic was sound.


for example, 45 british pounds to russian rubles would be 45 * 8933.13 / 90.8688 = 4423.86 russian rubles.
i used the exchange converter for british pounds to russian rubles directly to confirm this was accurate.
it was.


note that the middle man was 100 euros and they canceled out in the arithmetic.


for example, using the current exchange rate:


ratio of russian rubles to euros is 8933.13 / 100
ratio of british pounds to euros is is 90.8688


ratio of russian rubles to british pounds is (8933.13/100) / (90.8688/100) which becomes 8933.13/100 * 100/90.8688 which then becomes 8933.13/90.8688 because the 100 in the numerator and denominator cancels out.
8933.13/90.8688 * 45 = 4423.86 - same as i got earlier.


note again, this was using the current exchange rate.
the problem exchange rate was used to provide your solutions.


they are, once again.


45 british pound is equivalent to 45 * 4239.6 / 89.9 = 2122.157953 russian rubles.


100 australian dollars is equivalent to 100 * 100 / 143.2 = 69.83240223 euros.


48 australian dollars is equivalent to 48 * 133.8 / 143.2 = 44.87916201 us dollars.