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Finding the Fourth Proportional to 106,700.28, 160,067.70 and 32,811

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Solution

The fourth proportional to 106,700.28, 160,067.70 and 32,811 is: 49,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.28 : 160,067.70 = 32,811 : x
  2. Step 2: Convert to fraction form
    106,700.28/160,067.70 = 32,811/x
  3. Step 3: Cross multiply
    106,700.28x = 160,067.70 × 32,811
  4. Step 4: Simplify right side
    106,700.28x = 5,251,981,304.70
  5. Step 5: Solve for x
    x = 5,251,981,304.70/106,700.28
  6. Step 6: Final answer
    x = 49,221.81

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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.