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Finding the Fourth Proportional to 41,129.70, 61,824.15 and 38,019.30

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Solution

The fourth proportional to 41,129.70, 61,824.15 and 38,019.30 is: 57,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,129.70 : 61,824.15 = 38,019.30 : x
  2. Step 2: Convert to fraction form
    41,129.70/61,824.15 = 38,019.30/x
  3. Step 3: Cross multiply
    41,129.70x = 61,824.15 × 38,019.30
  4. Step 4: Simplify right side
    41,129.70x = 2,350,510,906.10
  5. Step 5: Solve for x
    x = 2,350,510,906.10/41,129.70
  6. Step 6: Final answer
    x = 57,148.75

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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.