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Finding the Fourth Proportional to 27,751.32, 41,618.34 and 9,279

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Solution

The fourth proportional to 27,751.32, 41,618.34 and 9,279 is: 13,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,751.32 : 41,618.34 = 9,279 : x
  2. Step 2: Convert to fraction form
    27,751.32/41,618.34 = 9,279/x
  3. Step 3: Cross multiply
    27,751.32x = 41,618.34 × 9,279
  4. Step 4: Simplify right side
    27,751.32x = 386,176,576.86
  5. Step 5: Solve for x
    x = 386,176,576.86/27,751.32
  6. Step 6: Final answer
    x = 13,915.61

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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.