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Finding the Fourth Proportional to 71,649.28, 107,473.60 and 24,902

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Solution

The fourth proportional to 71,649.28, 107,473.60 and 24,902 is: 37,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,649.28 : 107,473.60 = 24,902 : x
  2. Step 2: Convert to fraction form
    71,649.28/107,473.60 = 24,902/x
  3. Step 3: Cross multiply
    71,649.28x = 107,473.60 × 24,902
  4. Step 4: Simplify right side
    71,649.28x = 2,676,307,587.20
  5. Step 5: Solve for x
    x = 2,676,307,587.20/71,649.28
  6. Step 6: Final answer
    x = 37,352.89

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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.