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Finding the Fourth Proportional to 54,853.44, 82,284 and 27,144

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Solution

The fourth proportional to 54,853.44, 82,284 and 27,144 is: 40,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,853.44 : 82,284 = 27,144 : x
  2. Step 2: Convert to fraction form
    54,853.44/82,284 = 27,144/x
  3. Step 3: Cross multiply
    54,853.44x = 82,284 × 27,144
  4. Step 4: Simplify right side
    54,853.44x = 2,233,516,896
  5. Step 5: Solve for x
    x = 2,233,516,896/54,853.44
  6. Step 6: Final answer
    x = 40,717.90

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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.