Finding the Fourth Proportional to 50,096, 69,132.50 and 27,740

Step by Step Solution

1. Step 1: Write the proportion equation
   50,096 : 69,132.50 = 27,740 : x
2. Step 2: Convert to fraction form
   50,096/69,132.50 = 27,740/x
3. Step 3: Cross multiply
   50,096x = 69,132.50 × 27,740
4. Step 4: Simplify right side
   50,096x = 1,917,735,550
5. Step 5: Solve for x
   x = 1,917,735,550/50,096
6. Step 6: Final answer
   x = 38,281.21