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Finding the Fourth Proportional to 71,982.91, 99,314.40 and 41,757.76

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Solution

The fourth proportional to 71,982.91, 99,314.40 and 41,757.76 is: 57,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982.91 : 99,314.40 = 41,757.76 : x
  2. Step 2: Convert to fraction form
    71,982.91/99,314.40 = 41,757.76/x
  3. Step 3: Cross multiply
    71,982.91x = 99,314.40 × 41,757.76
  4. Step 4: Simplify right side
    71,982.91x = 4,147,146,879.74
  5. Step 5: Solve for x
    x = 4,147,146,879.74/71,982.91
  6. Step 6: Final answer
    x = 57,612.94

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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.