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Finding the Fourth Proportional to 27,815.20, 41,722.80 and 24,704.80

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Solution

The fourth proportional to 27,815.20, 41,722.80 and 24,704.80 is: 37,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815.20 : 41,722.80 = 24,704.80 : x
  2. Step 2: Convert to fraction form
    27,815.20/41,722.80 = 24,704.80/x
  3. Step 3: Cross multiply
    27,815.20x = 41,722.80 × 24,704.80
  4. Step 4: Simplify right side
    27,815.20x = 1,030,753,429.44
  5. Step 5: Solve for x
    x = 1,030,753,429.44/27,815.20
  6. Step 6: Final answer
    x = 37,057.20

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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.