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Finding the Fourth Proportional to 57,327.69, 85,944.15 and 21,781.65

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Solution

The fourth proportional to 57,327.69, 85,944.15 and 21,781.65 is: 32,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,327.69 : 85,944.15 = 21,781.65 : x
  2. Step 2: Convert to fraction form
    57,327.69/85,944.15 = 21,781.65/x
  3. Step 3: Cross multiply
    57,327.69x = 85,944.15 × 21,781.65
  4. Step 4: Simplify right side
    57,327.69x = 1,872,005,394.85
  5. Step 5: Solve for x
    x = 1,872,005,394.85/57,327.69
  6. Step 6: Final answer
    x = 32,654.47

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