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Finding the Fourth Proportional to 27,952.74, 41,930.46 and 8,231.49

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Solution

The fourth proportional to 27,952.74, 41,930.46 and 8,231.49 is: 12,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.74 : 41,930.46 = 8,231.49 : x
  2. Step 2: Convert to fraction form
    27,952.74/41,930.46 = 8,231.49/x
  3. Step 3: Cross multiply
    27,952.74x = 41,930.46 × 8,231.49
  4. Step 4: Simplify right side
    27,952.74x = 345,150,162.19
  5. Step 5: Solve for x
    x = 345,150,162.19/27,952.74
  6. Step 6: Final answer
    x = 12,347.63

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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.