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Finding the Fourth Proportional to 27,652.98, 41,481.60 and 10,122.42

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Solution

The fourth proportional to 27,652.98, 41,481.60 and 10,122.42 is: 15,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.98 : 41,481.60 = 10,122.42 : x
  2. Step 2: Convert to fraction form
    27,652.98/41,481.60 = 10,122.42/x
  3. Step 3: Cross multiply
    27,652.98x = 41,481.60 × 10,122.42
  4. Step 4: Simplify right side
    27,652.98x = 419,894,177.47
  5. Step 5: Solve for x
    x = 419,894,177.47/27,652.98
  6. Step 6: Final answer
    x = 15,184.41

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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.