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Finding the Fourth Proportional to 54,851.44, 82,281 and 27,142

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Solution

The fourth proportional to 54,851.44, 82,281 and 27,142 is: 40,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.44 : 82,281 = 27,142 : x
  2. Step 2: Convert to fraction form
    54,851.44/82,281 = 27,142/x
  3. Step 3: Cross multiply
    54,851.44x = 82,281 × 27,142
  4. Step 4: Simplify right side
    54,851.44x = 2,233,270,902
  5. Step 5: Solve for x
    x = 2,233,270,902/54,851.44
  6. Step 6: Final answer
    x = 40,714.90

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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.