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Finding the Fourth Proportional to 77,356.92, 116,037 and 24,766.25

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Solution

The fourth proportional to 77,356.92, 116,037 and 24,766.25 is: 37,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.92 : 116,037 = 24,766.25 : x
  2. Step 2: Convert to fraction form
    77,356.92/116,037 = 24,766.25/x
  3. Step 3: Cross multiply
    77,356.92x = 116,037 × 24,766.25
  4. Step 4: Simplify right side
    77,356.92x = 2,873,801,641.34
  5. Step 5: Solve for x
    x = 2,873,801,641.34/77,356.92
  6. Step 6: Final answer
    x = 37,149.90

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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.