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Finding the Fourth Proportional to 71,470.88, 107,216.24 and 41,499.28

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Solution

The fourth proportional to 71,470.88, 107,216.24 and 41,499.28 is: 62,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,470.88 : 107,216.24 = 41,499.28 : x
  2. Step 2: Convert to fraction form
    71,470.88/107,216.24 = 41,499.28/x
  3. Step 3: Cross multiply
    71,470.88x = 107,216.24 × 41,499.28
  4. Step 4: Simplify right side
    71,470.88x = 4,449,396,764.31
  5. Step 5: Solve for x
    x = 4,449,396,764.31/71,470.88
  6. Step 6: Final answer
    x = 62,254.68

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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.