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Finding the Fourth Proportional to 27,951.35, 41,927.31 and 8,230.28

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Solution

The fourth proportional to 27,951.35, 41,927.31 and 8,230.28 is: 12,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.35 : 41,927.31 = 8,230.28 : x
  2. Step 2: Convert to fraction form
    27,951.35/41,927.31 = 8,230.28/x
  3. Step 3: Cross multiply
    27,951.35x = 41,927.31 × 8,230.28
  4. Step 4: Simplify right side
    27,951.35x = 345,073,250.16
  5. Step 5: Solve for x
    x = 345,073,250.16/27,951.35
  6. Step 6: Final answer
    x = 12,345.50

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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.