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Finding the Fourth Proportional to 57,542.76, 86,248.26 and 24,212.88

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Solution

The fourth proportional to 57,542.76, 86,248.26 and 24,212.88 is: 36,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,542.76 : 86,248.26 = 24,212.88 : x
  2. Step 2: Convert to fraction form
    57,542.76/86,248.26 = 24,212.88/x
  3. Step 3: Cross multiply
    57,542.76x = 86,248.26 × 24,212.88
  4. Step 4: Simplify right side
    57,542.76x = 2,088,318,769.59
  5. Step 5: Solve for x
    x = 2,088,318,769.59/57,542.76
  6. Step 6: Final answer
    x = 36,291.60

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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.