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Finding the Fourth Proportional to 41,471.60, 62,188.64 and 11,882.64

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Solution

The fourth proportional to 41,471.60, 62,188.64 and 11,882.64 is: 17,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,471.60 : 62,188.64 = 11,882.64 : x
  2. Step 2: Convert to fraction form
    41,471.60/62,188.64 = 11,882.64/x
  3. Step 3: Cross multiply
    41,471.60x = 62,188.64 × 11,882.64
  4. Step 4: Simplify right side
    41,471.60x = 738,965,221.21
  5. Step 5: Solve for x
    x = 738,965,221.21/41,471.60
  6. Step 6: Final answer
    x = 17,818.58

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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.