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Finding the Fourth Proportional to 54,806.76, 82,099.80 and 25,183.44

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Solution

The fourth proportional to 54,806.76, 82,099.80 and 25,183.44 is: 37,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,806.76 : 82,099.80 = 25,183.44 : x
  2. Step 2: Convert to fraction form
    54,806.76/82,099.80 = 25,183.44/x
  3. Step 3: Cross multiply
    54,806.76x = 82,099.80 × 25,183.44
  4. Step 4: Simplify right side
    54,806.76x = 2,067,555,387.31
  5. Step 5: Solve for x
    x = 2,067,555,387.31/54,806.76
  6. Step 6: Final answer
    x = 37,724.46

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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.