Question 22191
The ratio of Albert, Bert, and Carl is 52:24:12 or if we divided everything by 4 to reduce it, the ratio is 13:6:3.  So if Dan is selling his share for $59,000.00 it would need to be divided up into 22 parts, with Albert getting 13 parts, Bert getting 3 parts, and Carl getting 3 parts.  Each part would be 59,000/19 = $2681.82 So If Albert is getting 13 parts, he would pay $2681.82 * 13 = $34863.64.
Bert is getting 6 parts, so he would pay $2681.82 * 6 = $16090.91.  Carl is getting 3 parts, so he would pay $8045.45.

As for the new percentages, Albert acquired 13/22 of the 12%, so he owns 52+12*13/22 = 59.09%.  Bert acquired 6/22 of the 12% so he now owns 24+12*6/22 = 27.27%.  Finally, Carl acquired 3/22 of the 12% so he now owns 12+12*3/22 = 13.64%.

Hope you don't get lost in all the numbers.