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Finding the Fourth Proportional to 57,542.88, 86,318.42 and 20,098.71

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Solution

The fourth proportional to 57,542.88, 86,318.42 and 20,098.71 is: 30,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,542.88 : 86,318.42 = 20,098.71 : x
  2. Step 2: Convert to fraction form
    57,542.88/86,318.42 = 20,098.71/x
  3. Step 3: Cross multiply
    57,542.88x = 86,318.42 × 20,098.71
  4. Step 4: Simplify right side
    57,542.88x = 1,734,888,891.24
  5. Step 5: Solve for x
    x = 1,734,888,891.24/57,542.88
  6. Step 6: Final answer
    x = 30,149.50

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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.