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Finding the Fourth Proportional to 27,906.48, 41,863.16 and 9,181.72

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Solution

The fourth proportional to 27,906.48, 41,863.16 and 9,181.72 is: 13,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.48 : 41,863.16 = 9,181.72 : x
  2. Step 2: Convert to fraction form
    27,906.48/41,863.16 = 9,181.72/x
  3. Step 3: Cross multiply
    27,906.48x = 41,863.16 × 9,181.72
  4. Step 4: Simplify right side
    27,906.48x = 384,375,813.44
  5. Step 5: Solve for x
    x = 384,375,813.44/27,906.48
  6. Step 6: Final answer
    x = 13,773.71

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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.