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Finding the Fourth Proportional to 71,471.88, 107,217.74 and 41,500.28

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Solution

The fourth proportional to 71,471.88, 107,217.74 and 41,500.28 is: 62,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,471.88 : 107,217.74 = 41,500.28 : x
  2. Step 2: Convert to fraction form
    71,471.88/107,217.74 = 41,500.28/x
  3. Step 3: Cross multiply
    71,471.88x = 107,217.74 × 41,500.28
  4. Step 4: Simplify right side
    71,471.88x = 4,449,566,230.97
  5. Step 5: Solve for x
    x = 4,449,566,230.97/71,471.88
  6. Step 6: Final answer
    x = 62,256.18

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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.