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Finding the Fourth Proportional to 71,864.12, 107,796.17 and 27,504.47

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Solution

The fourth proportional to 71,864.12, 107,796.17 and 27,504.47 is: 41,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,864.12 : 107,796.17 = 27,504.47 : x
  2. Step 2: Convert to fraction form
    71,864.12/107,796.17 = 27,504.47/x
  3. Step 3: Cross multiply
    71,864.12x = 107,796.17 × 27,504.47
  4. Step 4: Simplify right side
    71,864.12x = 2,964,876,053.66
  5. Step 5: Solve for x
    x = 2,964,876,053.66/71,864.12
  6. Step 6: Final answer
    x = 41,256.70

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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.