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Finding the Fourth Proportional to 109,663.38, 164,500.92 and 34,789.51

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Solution

The fourth proportional to 109,663.38, 164,500.92 and 34,789.51 is: 52,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663.38 : 164,500.92 = 34,789.51 : x
  2. Step 2: Convert to fraction form
    109,663.38/164,500.92 = 34,789.51/x
  3. Step 3: Cross multiply
    109,663.38x = 164,500.92 × 34,789.51
  4. Step 4: Simplify right side
    109,663.38x = 5,722,906,046.47
  5. Step 5: Solve for x
    x = 5,722,906,046.47/109,663.38
  6. Step 6: Final answer
    x = 52,186.12

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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.