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Finding the Fourth Proportional to 87,668.45, 120,982.49 and 47,382.15

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Solution

The fourth proportional to 87,668.45, 120,982.49 and 47,382.15 is: 65,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,668.45 : 120,982.49 = 47,382.15 : x
  2. Step 2: Convert to fraction form
    87,668.45/120,982.49 = 47,382.15/x
  3. Step 3: Cross multiply
    87,668.45x = 120,982.49 × 47,382.15
  4. Step 4: Simplify right side
    87,668.45x = 5,732,410,251.64
  5. Step 5: Solve for x
    x = 5,732,410,251.64/87,668.45
  6. Step 6: Final answer
    x = 65,387.38

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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.