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Finding the Fourth Proportional to 138,582.91, 207,872.54 and 33,400.97

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Solution

The fourth proportional to 138,582.91, 207,872.54 and 33,400.97 is: 50,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,582.91 : 207,872.54 = 33,400.97 : x
  2. Step 2: Convert to fraction form
    138,582.91/207,872.54 = 33,400.97/x
  3. Step 3: Cross multiply
    138,582.91x = 207,872.54 × 33,400.97
  4. Step 4: Simplify right side
    138,582.91x = 6,943,144,472.36
  5. Step 5: Solve for x
    x = 6,943,144,472.36/138,582.91
  6. Step 6: Final answer
    x = 50,101.02

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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.