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Finding the Fourth Proportional to 54,849.44, 82,278 and 27,140

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Solution

The fourth proportional to 54,849.44, 82,278 and 27,140 is: 40,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,849.44 : 82,278 = 27,140 : x
  2. Step 2: Convert to fraction form
    54,849.44/82,278 = 27,140/x
  3. Step 3: Cross multiply
    54,849.44x = 82,278 × 27,140
  4. Step 4: Simplify right side
    54,849.44x = 2,233,024,920
  5. Step 5: Solve for x
    x = 2,233,024,920/54,849.44
  6. Step 6: Final answer
    x = 40,711.90

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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.