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Finding the Fourth Proportional to 71,064.89, 106,480.68 and 24,292.25

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Solution

The fourth proportional to 71,064.89, 106,480.68 and 24,292.25 is: 36,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,064.89 : 106,480.68 = 24,292.25 : x
  2. Step 2: Convert to fraction form
    71,064.89/106,480.68 = 24,292.25/x
  3. Step 3: Cross multiply
    71,064.89x = 106,480.68 × 24,292.25
  4. Step 4: Simplify right side
    71,064.89x = 2,586,654,766.33
  5. Step 5: Solve for x
    x = 2,586,654,766.33/71,064.89
  6. Step 6: Final answer
    x = 36,398.49

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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.