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Finding the Fourth Proportional to 138,408.43, 207,612.65 and 33,227.40

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Solution

The fourth proportional to 138,408.43, 207,612.65 and 33,227.40 is: 49,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408.43 : 207,612.65 = 33,227.40 : x
  2. Step 2: Convert to fraction form
    138,408.43/207,612.65 = 33,227.40/x
  3. Step 3: Cross multiply
    138,408.43x = 207,612.65 × 33,227.40
  4. Step 4: Simplify right side
    138,408.43x = 6,898,428,566.61
  5. Step 5: Solve for x
    x = 6,898,428,566.61/138,408.43
  6. Step 6: Final answer
    x = 49,841.10

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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.