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Finding the Fourth Proportional to 87,462.40, 131,203.14 and 32,058.40

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Solution

The fourth proportional to 87,462.40, 131,203.14 and 32,058.40 is: 48,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,462.40 : 131,203.14 = 32,058.40 : x
  2. Step 2: Convert to fraction form
    87,462.40/131,203.14 = 32,058.40/x
  3. Step 3: Cross multiply
    87,462.40x = 131,203.14 × 32,058.40
  4. Step 4: Simplify right side
    87,462.40x = 4,206,162,743.38
  5. Step 5: Solve for x
    x = 4,206,162,743.38/87,462.40
  6. Step 6: Final answer
    x = 48,091.10

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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.