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Finding the Fourth Proportional to 87,796.75, 131,698.81 and 27,823.92

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Solution

The fourth proportional to 87,796.75, 131,698.81 and 27,823.92 is: 41,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,796.75 : 131,698.81 = 27,823.92 : x
  2. Step 2: Convert to fraction form
    87,796.75/131,698.81 = 27,823.92/x
  3. Step 3: Cross multiply
    87,796.75x = 131,698.81 × 27,823.92
  4. Step 4: Simplify right side
    87,796.75x = 3,664,376,589.13
  5. Step 5: Solve for x
    x = 3,664,376,589.13/87,796.75
  6. Step 6: Final answer
    x = 41,737.04

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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.