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Finding the Fourth Proportional to 75,378.87, 104,022.39 and 41,387.97

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Solution

The fourth proportional to 75,378.87, 104,022.39 and 41,387.97 is: 57,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,378.87 : 104,022.39 = 41,387.97 : x
  2. Step 2: Convert to fraction form
    75,378.87/104,022.39 = 41,387.97/x
  3. Step 3: Cross multiply
    75,378.87x = 104,022.39 × 41,387.97
  4. Step 4: Simplify right side
    75,378.87x = 4,305,275,556.65
  5. Step 5: Solve for x
    x = 4,305,275,556.65/75,378.87
  6. Step 6: Final answer
    x = 57,115.15

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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.