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Finding the Fourth Proportional to 27,871.28, 41,813.30 and 12,078.96

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Solution

The fourth proportional to 27,871.28, 41,813.30 and 12,078.96 is: 18,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.28 : 41,813.30 = 12,078.96 : x
  2. Step 2: Convert to fraction form
    27,871.28/41,813.30 = 12,078.96/x
  3. Step 3: Cross multiply
    27,871.28x = 41,813.30 × 12,078.96
  4. Step 4: Simplify right side
    27,871.28x = 505,061,051.57
  5. Step 5: Solve for x
    x = 505,061,051.57/27,871.28
  6. Step 6: Final answer
    x = 18,121.20

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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.