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Finding the Fourth Proportional to 77,140.31, 115,759.67 and 51,552.41

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Solution

The fourth proportional to 77,140.31, 115,759.67 and 51,552.41 is: 77,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140.31 : 115,759.67 = 51,552.41 : x
  2. Step 2: Convert to fraction form
    77,140.31/115,759.67 = 51,552.41/x
  3. Step 3: Cross multiply
    77,140.31x = 115,759.67 × 51,552.41
  4. Step 4: Simplify right side
    77,140.31x = 5,967,689,132.74
  5. Step 5: Solve for x
    x = 5,967,689,132.74/77,140.31
  6. Step 6: Final answer
    x = 77,361.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.