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Finding the Fourth Proportional to 57,767.20, 86,737.20 and 40,314.40

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Solution

The fourth proportional to 57,767.20, 86,737.20 and 40,314.40 is: 60,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,767.20 : 86,737.20 = 40,314.40 : x
  2. Step 2: Convert to fraction form
    57,767.20/86,737.20 = 40,314.40/x
  3. Step 3: Cross multiply
    57,767.20x = 86,737.20 × 40,314.40
  4. Step 4: Simplify right side
    57,767.20x = 3,496,758,175.68
  5. Step 5: Solve for x
    x = 3,496,758,175.68/57,767.20
  6. Step 6: Final answer
    x = 60,531.90

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Why These Related Problems?

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