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Finding the Fourth Proportional to 67,849.92, 101,757.87 and 32,289.30

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Solution

The fourth proportional to 67,849.92, 101,757.87 and 32,289.30 is: 48,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,849.92 : 101,757.87 = 32,289.30 : x
  2. Step 2: Convert to fraction form
    67,849.92/101,757.87 = 32,289.30/x
  3. Step 3: Cross multiply
    67,849.92x = 101,757.87 × 32,289.30
  4. Step 4: Simplify right side
    67,849.92x = 3,285,690,391.79
  5. Step 5: Solve for x
    x = 3,285,690,391.79/67,849.92
  6. Step 6: Final answer
    x = 48,425.86

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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.