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Finding the Fourth Proportional to 87,654.96, 131,469.48 and 32,238

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Solution

The fourth proportional to 87,654.96, 131,469.48 and 32,238 is: 48,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,654.96 : 131,469.48 = 32,238 : x
  2. Step 2: Convert to fraction form
    87,654.96/131,469.48 = 32,238/x
  3. Step 3: Cross multiply
    87,654.96x = 131,469.48 × 32,238
  4. Step 4: Simplify right side
    87,654.96x = 4,238,313,096.24
  5. Step 5: Solve for x
    x = 4,238,313,096.24/87,654.96
  6. Step 6: Final answer
    x = 48,352.23

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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.