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Finding the Fourth Proportional to 27,958.88, 41,929.94 and 8,232.68

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Solution

The fourth proportional to 27,958.88, 41,929.94 and 8,232.68 is: 12,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958.88 : 41,929.94 = 8,232.68 : x
  2. Step 2: Convert to fraction form
    27,958.88/41,929.94 = 8,232.68/x
  3. Step 3: Cross multiply
    27,958.88x = 41,929.94 × 8,232.68
  4. Step 4: Simplify right side
    27,958.88x = 345,195,778.44
  5. Step 5: Solve for x
    x = 345,195,778.44/27,958.88
  6. Step 6: Final answer
    x = 12,346.55

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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.