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Finding the Fourth Proportional to 54,057.04, 80,972.56 and 43,469.80

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Solution

The fourth proportional to 54,057.04, 80,972.56 and 43,469.80 is: 65,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,057.04 : 80,972.56 = 43,469.80 : x
  2. Step 2: Convert to fraction form
    54,057.04/80,972.56 = 43,469.80/x
  3. Step 3: Cross multiply
    54,057.04x = 80,972.56 × 43,469.80
  4. Step 4: Simplify right side
    54,057.04x = 3,519,860,988.69
  5. Step 5: Solve for x
    x = 3,519,860,988.69/54,057.04
  6. Step 6: Final answer
    x = 65,113.83

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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.