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Finding the Fourth Proportional to 41,701.50, 62,542.41 and 13,614.30

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Solution

The fourth proportional to 41,701.50, 62,542.41 and 13,614.30 is: 20,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,701.50 : 62,542.41 = 13,614.30 : x
  2. Step 2: Convert to fraction form
    41,701.50/62,542.41 = 13,614.30/x
  3. Step 3: Cross multiply
    41,701.50x = 62,542.41 × 13,614.30
  4. Step 4: Simplify right side
    41,701.50x = 851,471,132.46
  5. Step 5: Solve for x
    x = 851,471,132.46/41,701.50
  6. Step 6: Final answer
    x = 20,418.24

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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.