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Finding the Fourth Proportional to 41,198.29, 61,797.74 and 27,246.44

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Solution

The fourth proportional to 41,198.29, 61,797.74 and 27,246.44 is: 40,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198.29 : 61,797.74 = 27,246.44 : x
  2. Step 2: Convert to fraction form
    41,198.29/61,797.74 = 27,246.44/x
  3. Step 3: Cross multiply
    41,198.29x = 61,797.74 × 27,246.44
  4. Step 4: Simplify right side
    41,198.29x = 1,683,768,433.31
  5. Step 5: Solve for x
    x = 1,683,768,433.31/41,198.29
  6. Step 6: Final answer
    x = 40,869.86

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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.