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Finding the Fourth Proportional to 80,377, 110,920.42 and 45,049

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Solution

The fourth proportional to 80,377, 110,920.42 and 45,049 is: 62,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,377 : 110,920.42 = 45,049 : x
  2. Step 2: Convert to fraction form
    80,377/110,920.42 = 45,049/x
  3. Step 3: Cross multiply
    80,377x = 110,920.42 × 45,049
  4. Step 4: Simplify right side
    80,377x = 4,996,854,000.58
  5. Step 5: Solve for x
    x = 4,996,854,000.58/80,377
  6. Step 6: Final answer
    x = 62,167.71

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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.