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Finding the Fourth Proportional to 41,617.98, 62,414.01 and 13,909.50

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Solution

The fourth proportional to 41,617.98, 62,414.01 and 13,909.50 is: 20,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,617.98 : 62,414.01 = 13,909.50 : x
  2. Step 2: Convert to fraction form
    41,617.98/62,414.01 = 13,909.50/x
  3. Step 3: Cross multiply
    41,617.98x = 62,414.01 × 13,909.50
  4. Step 4: Simplify right side
    41,617.98x = 868,147,672.10
  5. Step 5: Solve for x
    x = 868,147,672.10/41,617.98
  6. Step 6: Final answer
    x = 20,859.92

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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.