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Finding the Fourth Proportional to 71,833.95, 107,714.88 and 41,857.88

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Solution

The fourth proportional to 71,833.95, 107,714.88 and 41,857.88 is: 62,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.95 : 107,714.88 = 41,857.88 : x
  2. Step 2: Convert to fraction form
    71,833.95/107,714.88 = 41,857.88/x
  3. Step 3: Cross multiply
    71,833.95x = 107,714.88 × 41,857.88
  4. Step 4: Simplify right side
    71,833.95x = 4,508,715,982.68
  5. Step 5: Solve for x
    x = 4,508,715,982.68/71,833.95
  6. Step 6: Final answer
    x = 62,765.81

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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.