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Finding the Fourth Proportional to 57,387.96, 86,086.89 and 15,834.96

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Solution

The fourth proportional to 57,387.96, 86,086.89 and 15,834.96 is: 23,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,387.96 : 86,086.89 = 15,834.96 : x
  2. Step 2: Convert to fraction form
    57,387.96/86,086.89 = 15,834.96/x
  3. Step 3: Cross multiply
    57,387.96x = 86,086.89 × 15,834.96
  4. Step 4: Simplify right side
    57,387.96x = 1,363,182,459.67
  5. Step 5: Solve for x
    x = 1,363,182,459.67/57,387.96
  6. Step 6: Final answer
    x = 23,753.81

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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.