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Finding the Fourth Proportional to 57,449.89, 86,174.19 and 22,414.15

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Solution

The fourth proportional to 57,449.89, 86,174.19 and 22,414.15 is: 33,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,449.89 : 86,174.19 = 22,414.15 : x
  2. Step 2: Convert to fraction form
    57,449.89/86,174.19 = 22,414.15/x
  3. Step 3: Cross multiply
    57,449.89x = 86,174.19 × 22,414.15
  4. Step 4: Simplify right side
    57,449.89x = 1,931,521,220.79
  5. Step 5: Solve for x
    x = 1,931,521,220.79/57,449.89
  6. Step 6: Final answer
    x = 33,620.97

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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.