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Finding the Fourth Proportional to 87,228.96, 130,843.52 and 31,812

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Solution

The fourth proportional to 87,228.96, 130,843.52 and 31,812 is: 47,718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,228.96 : 130,843.52 = 31,812 : x
  2. Step 2: Convert to fraction form
    87,228.96/130,843.52 = 31,812/x
  3. Step 3: Cross multiply
    87,228.96x = 130,843.52 × 31,812
  4. Step 4: Simplify right side
    87,228.96x = 4,162,394,058.24
  5. Step 5: Solve for x
    x = 4,162,394,058.24/87,228.96
  6. Step 6: Final answer
    x = 47,718.03

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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.