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Finding the Fourth Proportional to 87,342.87, 131,014.33 and 27,376

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Solution

The fourth proportional to 87,342.87, 131,014.33 and 27,376 is: 41,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,342.87 : 131,014.33 = 27,376 : x
  2. Step 2: Convert to fraction form
    87,342.87/131,014.33 = 27,376/x
  3. Step 3: Cross multiply
    87,342.87x = 131,014.33 × 27,376
  4. Step 4: Simplify right side
    87,342.87x = 3,586,648,298.08
  5. Step 5: Solve for x
    x = 3,586,648,298.08/87,342.87
  6. Step 6: Final answer
    x = 41,064.01

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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.