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Finding the Fourth Proportional to 27,554, 41,331 and 9,087.44

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Solution

The fourth proportional to 27,554, 41,331 and 9,087.44 is: 13,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,554 : 41,331 = 9,087.44 : x
  2. Step 2: Convert to fraction form
    27,554/41,331 = 9,087.44/x
  3. Step 3: Cross multiply
    27,554x = 41,331 × 9,087.44
  4. Step 4: Simplify right side
    27,554x = 375,592,982.64
  5. Step 5: Solve for x
    x = 375,592,982.64/27,554
  6. Step 6: Final answer
    x = 13,631.16

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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.