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Finding the Fourth Proportional to 56,481.80, 84,819.90 and 54,732.20

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Solution

The fourth proportional to 56,481.80, 84,819.90 and 54,732.20 is: 82,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481.80 : 84,819.90 = 54,732.20 : x
  2. Step 2: Convert to fraction form
    56,481.80/84,819.90 = 54,732.20/x
  3. Step 3: Cross multiply
    56,481.80x = 84,819.90 × 54,732.20
  4. Step 4: Simplify right side
    56,481.80x = 4,642,379,730.78
  5. Step 5: Solve for x
    x = 4,642,379,730.78/56,481.80
  6. Step 6: Final answer
    x = 82,192.49

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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.