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Finding the Fourth Proportional to 27,844.47, 41,768.53 and 8,121.38

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Solution

The fourth proportional to 27,844.47, 41,768.53 and 8,121.38 is: 12,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.47 : 41,768.53 = 8,121.38 : x
  2. Step 2: Convert to fraction form
    27,844.47/41,768.53 = 8,121.38/x
  3. Step 3: Cross multiply
    27,844.47x = 41,768.53 × 8,121.38
  4. Step 4: Simplify right side
    27,844.47x = 339,217,875.03
  5. Step 5: Solve for x
    x = 339,217,875.03/27,844.47
  6. Step 6: Final answer
    x = 12,182.59

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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.