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Finding the Fourth Proportional to 57,769.80, 86,542.56 and 32,732.88

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Solution

The fourth proportional to 57,769.80, 86,542.56 and 32,732.88 is: 49,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769.80 : 86,542.56 = 32,732.88 : x
  2. Step 2: Convert to fraction form
    57,769.80/86,542.56 = 32,732.88/x
  3. Step 3: Cross multiply
    57,769.80x = 86,542.56 × 32,732.88
  4. Step 4: Simplify right side
    57,769.80x = 2,832,787,231.37
  5. Step 5: Solve for x
    x = 2,832,787,231.37/57,769.80
  6. Step 6: Final answer
    x = 49,035.78

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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.