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Finding the Fourth Proportional to 41,115.20, 61,636.80 and 27,924.80

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Solution

The fourth proportional to 41,115.20, 61,636.80 and 27,924.80 is: 41,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,115.20 : 61,636.80 = 27,924.80 : x
  2. Step 2: Convert to fraction form
    41,115.20/61,636.80 = 27,924.80/x
  3. Step 3: Cross multiply
    41,115.20x = 61,636.80 × 27,924.80
  4. Step 4: Simplify right side
    41,115.20x = 1,721,195,312.64
  5. Step 5: Solve for x
    x = 1,721,195,312.64/41,115.20
  6. Step 6: Final answer
    x = 41,862.75

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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.