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Finding the Fourth Proportional to 27,682.75, 41,524.13 and 8,978.44

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Solution

The fourth proportional to 27,682.75, 41,524.13 and 8,978.44 is: 13,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.75 : 41,524.13 = 8,978.44 : x
  2. Step 2: Convert to fraction form
    27,682.75/41,524.13 = 8,978.44/x
  3. Step 3: Cross multiply
    27,682.75x = 41,524.13 × 8,978.44
  4. Step 4: Simplify right side
    27,682.75x = 372,821,657.24
  5. Step 5: Solve for x
    x = 372,821,657.24/27,682.75
  6. Step 6: Final answer
    x = 13,467.65

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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.