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Finding the Fourth Proportional to 41,456.10, 62,193.02 and 13,377.76

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Solution

The fourth proportional to 41,456.10, 62,193.02 and 13,377.76 is: 20,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,456.10 : 62,193.02 = 13,377.76 : x
  2. Step 2: Convert to fraction form
    41,456.10/62,193.02 = 13,377.76/x
  3. Step 3: Cross multiply
    41,456.10x = 62,193.02 × 13,377.76
  4. Step 4: Simplify right side
    41,456.10x = 832,003,295.24
  5. Step 5: Solve for x
    x = 832,003,295.24/41,456.10
  6. Step 6: Final answer
    x = 20,069.50

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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.