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Finding the Fourth Proportional to 27,949.37, 41,924.78 and 8,228.57

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Solution

The fourth proportional to 27,949.37, 41,924.78 and 8,228.57 is: 12,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,949.37 : 41,924.78 = 8,228.57 : x
  2. Step 2: Convert to fraction form
    27,949.37/41,924.78 = 8,228.57/x
  3. Step 3: Cross multiply
    27,949.37x = 41,924.78 × 8,228.57
  4. Step 4: Simplify right side
    27,949.37x = 344,980,945.82
  5. Step 5: Solve for x
    x = 344,980,945.82/27,949.37
  6. Step 6: Final answer
    x = 12,343.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.