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Finding the Fourth Proportional to 41,447.61, 62,189.80 and 21,721.48

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Solution

The fourth proportional to 41,447.61, 62,189.80 and 21,721.48 is: 32,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,447.61 : 62,189.80 = 21,721.48 : x
  2. Step 2: Convert to fraction form
    41,447.61/62,189.80 = 21,721.48/x
  3. Step 3: Cross multiply
    41,447.61x = 62,189.80 × 21,721.48
  4. Step 4: Simplify right side
    41,447.61x = 1,350,854,496.90
  5. Step 5: Solve for x
    x = 1,350,854,496.90/41,447.61
  6. Step 6: Final answer
    x = 32,591.86

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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.