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Finding the Fourth Proportional to 27,650.31, 41,475.44 and 6,873.81

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Solution

The fourth proportional to 27,650.31, 41,475.44 and 6,873.81 is: 10,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,650.31 : 41,475.44 = 6,873.81 : x
  2. Step 2: Convert to fraction form
    27,650.31/41,475.44 = 6,873.81/x
  3. Step 3: Cross multiply
    27,650.31x = 41,475.44 × 6,873.81
  4. Step 4: Simplify right side
    27,650.31x = 285,094,259.86
  5. Step 5: Solve for x
    x = 285,094,259.86/27,650.31
  6. Step 6: Final answer
    x = 10,310.71

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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.