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Finding the Fourth Proportional to 27,576, 41,375.70 and 8,857.56

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Solution

The fourth proportional to 27,576, 41,375.70 and 8,857.56 is: 13,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 41,375.70 = 8,857.56 : x
  2. Step 2: Convert to fraction form
    27,576/41,375.70 = 8,857.56/x
  3. Step 3: Cross multiply
    27,576x = 41,375.70 × 8,857.56
  4. Step 4: Simplify right side
    27,576x = 366,487,745.29
  5. Step 5: Solve for x
    x = 366,487,745.29/27,576
  6. Step 6: Final answer
    x = 13,290.10

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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.