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Finding the Fourth Proportional to 27,648.80, 41,473.20 and 10,119.20

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Solution

The fourth proportional to 27,648.80, 41,473.20 and 10,119.20 is: 15,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.80 : 41,473.20 = 10,119.20 : x
  2. Step 2: Convert to fraction form
    27,648.80/41,473.20 = 10,119.20/x
  3. Step 3: Cross multiply
    27,648.80x = 41,473.20 × 10,119.20
  4. Step 4: Simplify right side
    27,648.80x = 419,675,605.44
  5. Step 5: Solve for x
    x = 419,675,605.44/27,648.80
  6. Step 6: Final answer
    x = 15,178.80

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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.