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Finding the Fourth Proportional to 27,478.92, 41,154.26 and 20,065

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Solution

The fourth proportional to 27,478.92, 41,154.26 and 20,065 is: 30,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.92 : 41,154.26 = 20,065 : x
  2. Step 2: Convert to fraction form
    27,478.92/41,154.26 = 20,065/x
  3. Step 3: Cross multiply
    27,478.92x = 41,154.26 × 20,065
  4. Step 4: Simplify right side
    27,478.92x = 825,760,226.90
  5. Step 5: Solve for x
    x = 825,760,226.90/27,478.92
  6. Step 6: Final answer
    x = 30,050.68

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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.