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Finding the Fourth Proportional to 47,815.20, 71,722.80 and 44,704.80

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Solution

The fourth proportional to 47,815.20, 71,722.80 and 44,704.80 is: 67,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,815.20 : 71,722.80 = 44,704.80 : x
  2. Step 2: Convert to fraction form
    47,815.20/71,722.80 = 44,704.80/x
  3. Step 3: Cross multiply
    47,815.20x = 71,722.80 × 44,704.80
  4. Step 4: Simplify right side
    47,815.20x = 3,206,353,429.44
  5. Step 5: Solve for x
    x = 3,206,353,429.44/47,815.20
  6. Step 6: Final answer
    x = 67,057.20

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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.