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Finding the Fourth Proportional to 27,601.62, 41,398.22 and 10,071.48

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Solution

The fourth proportional to 27,601.62, 41,398.22 and 10,071.48 is: 15,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.62 : 41,398.22 = 10,071.48 : x
  2. Step 2: Convert to fraction form
    27,601.62/41,398.22 = 10,071.48/x
  3. Step 3: Cross multiply
    27,601.62x = 41,398.22 × 10,071.48
  4. Step 4: Simplify right side
    27,601.62x = 416,941,344.77
  5. Step 5: Solve for x
    x = 416,941,344.77/27,601.62
  6. Step 6: Final answer
    x = 15,105.68

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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.