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Finding the Fourth Proportional to 41,489.52, 62,234.24 and 13,433

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Solution

The fourth proportional to 41,489.52, 62,234.24 and 13,433 is: 20,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,489.52 : 62,234.24 = 13,433 : x
  2. Step 2: Convert to fraction form
    41,489.52/62,234.24 = 13,433/x
  3. Step 3: Cross multiply
    41,489.52x = 62,234.24 × 13,433
  4. Step 4: Simplify right side
    41,489.52x = 835,992,545.92
  5. Step 5: Solve for x
    x = 835,992,545.92/41,489.52
  6. Step 6: Final answer
    x = 20,149.49

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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.