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Finding the Fourth Proportional to 54,836.70, 82,287.82 and 50,375.22

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Solution

The fourth proportional to 54,836.70, 82,287.82 and 50,375.22 is: 75,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,836.70 : 82,287.82 = 50,375.22 : x
  2. Step 2: Convert to fraction form
    54,836.70/82,287.82 = 50,375.22/x
  3. Step 3: Cross multiply
    54,836.70x = 82,287.82 × 50,375.22
  4. Step 4: Simplify right side
    54,836.70x = 4,145,266,704.16
  5. Step 5: Solve for x
    x = 4,145,266,704.16/54,836.70
  6. Step 6: Final answer
    x = 75,592.93

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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.