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Finding the Fourth Proportional to 27,652.28, 41,478.42 and 10,123.88

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Solution

The fourth proportional to 27,652.28, 41,478.42 and 10,123.88 is: 15,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.28 : 41,478.42 = 10,123.88 : x
  2. Step 2: Convert to fraction form
    27,652.28/41,478.42 = 10,123.88/x
  3. Step 3: Cross multiply
    27,652.28x = 41,478.42 × 10,123.88
  4. Step 4: Simplify right side
    27,652.28x = 419,922,546.67
  5. Step 5: Solve for x
    x = 419,922,546.67/27,652.28
  6. Step 6: Final answer
    x = 15,185.82

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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.