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Finding the Fourth Proportional to 41,375.50, 57,098.56 and 22,512.22

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Solution

The fourth proportional to 41,375.50, 57,098.56 and 22,512.22 is: 31,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,375.50 : 57,098.56 = 22,512.22 : x
  2. Step 2: Convert to fraction form
    41,375.50/57,098.56 = 22,512.22/x
  3. Step 3: Cross multiply
    41,375.50x = 57,098.56 × 22,512.22
  4. Step 4: Simplify right side
    41,375.50x = 1,285,415,145.38
  5. Step 5: Solve for x
    x = 1,285,415,145.38/41,375.50
  6. Step 6: Final answer
    x = 31,067.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.