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Finding the Fourth Proportional to 57,687.85, 86,531.78 and 24,399.28

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Solution

The fourth proportional to 57,687.85, 86,531.78 and 24,399.28 is: 36,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,687.85 : 86,531.78 = 24,399.28 : x
  2. Step 2: Convert to fraction form
    57,687.85/86,531.78 = 24,399.28/x
  3. Step 3: Cross multiply
    57,687.85x = 86,531.78 × 24,399.28
  4. Step 4: Simplify right side
    57,687.85x = 2,111,313,129.12
  5. Step 5: Solve for x
    x = 2,111,313,129.12/57,687.85
  6. Step 6: Final answer
    x = 36,598.92

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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.