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Finding the Fourth Proportional to 27,352.96, 41,003.52 and 8,872

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Solution

The fourth proportional to 27,352.96, 41,003.52 and 8,872 is: 13,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352.96 : 41,003.52 = 8,872 : x
  2. Step 2: Convert to fraction form
    27,352.96/41,003.52 = 8,872/x
  3. Step 3: Cross multiply
    27,352.96x = 41,003.52 × 8,872
  4. Step 4: Simplify right side
    27,352.96x = 363,783,229.44
  5. Step 5: Solve for x
    x = 363,783,229.44/27,352.96
  6. Step 6: Final answer
    x = 13,299.59

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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.