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Finding the Fourth Proportional to 54,855.44, 82,287 and 27,146

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Solution

The fourth proportional to 54,855.44, 82,287 and 27,146 is: 40,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855.44 : 82,287 = 27,146 : x
  2. Step 2: Convert to fraction form
    54,855.44/82,287 = 27,146/x
  3. Step 3: Cross multiply
    54,855.44x = 82,287 × 27,146
  4. Step 4: Simplify right side
    54,855.44x = 2,233,762,902
  5. Step 5: Solve for x
    x = 2,233,762,902/54,855.44
  6. Step 6: Final answer
    x = 40,720.90

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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.