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Finding the Fourth Proportional to 70,115.97, 96,762.30 and 38,287.29

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Solution

The fourth proportional to 70,115.97, 96,762.30 and 38,287.29 is: 52,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,115.97 : 96,762.30 = 38,287.29 : x
  2. Step 2: Convert to fraction form
    70,115.97/96,762.30 = 38,287.29/x
  3. Step 3: Cross multiply
    70,115.97x = 96,762.30 × 38,287.29
  4. Step 4: Simplify right side
    70,115.97x = 3,704,766,241.17
  5. Step 5: Solve for x
    x = 3,704,766,241.17/70,115.97
  6. Step 6: Final answer
    x = 52,837.70

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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.