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Finding the Fourth Proportional to 36,616.38, 54,917.28 and 10,314.06

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Solution

The fourth proportional to 36,616.38, 54,917.28 and 10,314.06 is: 15,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,616.38 : 54,917.28 = 10,314.06 : x
  2. Step 2: Convert to fraction form
    36,616.38/54,917.28 = 10,314.06/x
  3. Step 3: Cross multiply
    36,616.38x = 54,917.28 × 10,314.06
  4. Step 4: Simplify right side
    36,616.38x = 566,420,120.96
  5. Step 5: Solve for x
    x = 566,420,120.96/36,616.38
  6. Step 6: Final answer
    x = 15,469.04

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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.