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Finding the Fourth Proportional to 57,996.38, 80,031.22 and 34,118.44

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Solution

The fourth proportional to 57,996.38, 80,031.22 and 34,118.44 is: 47,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996.38 : 80,031.22 = 34,118.44 : x
  2. Step 2: Convert to fraction form
    57,996.38/80,031.22 = 34,118.44/x
  3. Step 3: Cross multiply
    57,996.38x = 80,031.22 × 34,118.44
  4. Step 4: Simplify right side
    57,996.38x = 2,730,540,377.70
  5. Step 5: Solve for x
    x = 2,730,540,377.70/57,996.38
  6. Step 6: Final answer
    x = 47,081.22

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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.