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Finding the Fourth Proportional to 50,806.38, 70,067.12 and 32,882.70

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Solution

The fourth proportional to 50,806.38, 70,067.12 and 32,882.70 is: 45,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,806.38 : 70,067.12 = 32,882.70 : x
  2. Step 2: Convert to fraction form
    50,806.38/70,067.12 = 32,882.70/x
  3. Step 3: Cross multiply
    50,806.38x = 70,067.12 × 32,882.70
  4. Step 4: Simplify right side
    50,806.38x = 2,303,995,922.41
  5. Step 5: Solve for x
    x = 2,303,995,922.41/50,806.38
  6. Step 6: Final answer
    x = 45,348.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.