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Finding the Fourth Proportional to 87,596.34, 120,882.94 and 47,310.10

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Solution

The fourth proportional to 87,596.34, 120,882.94 and 47,310.10 is: 65,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,596.34 : 120,882.94 = 47,310.10 : x
  2. Step 2: Convert to fraction form
    87,596.34/120,882.94 = 47,310.10/x
  3. Step 3: Cross multiply
    87,596.34x = 120,882.94 × 47,310.10
  4. Step 4: Simplify right side
    87,596.34x = 5,718,983,979.69
  5. Step 5: Solve for x
    x = 5,718,983,979.69/87,596.34
  6. Step 6: Final answer
    x = 65,287.93

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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.