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Finding the Fourth Proportional to 49,105.20, 67,742 and 33,195.20

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Solution

The fourth proportional to 49,105.20, 67,742 and 33,195.20 is: 45,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,105.20 : 67,742 = 33,195.20 : x
  2. Step 2: Convert to fraction form
    49,105.20/67,742 = 33,195.20/x
  3. Step 3: Cross multiply
    49,105.20x = 67,742 × 33,195.20
  4. Step 4: Simplify right side
    49,105.20x = 2,248,709,238.40
  5. Step 5: Solve for x
    x = 2,248,709,238.40/49,105.20
  6. Step 6: Final answer
    x = 45,793.71

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