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Finding the Fourth Proportional to 36,027.84, 54,049 and 12,651.20

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Solution

The fourth proportional to 36,027.84, 54,049 and 12,651.20 is: 18,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027.84 : 54,049 = 12,651.20 : x
  2. Step 2: Convert to fraction form
    36,027.84/54,049 = 12,651.20/x
  3. Step 3: Cross multiply
    36,027.84x = 54,049 × 12,651.20
  4. Step 4: Simplify right side
    36,027.84x = 683,784,708.80
  5. Step 5: Solve for x
    x = 683,784,708.80/36,027.84
  6. Step 6: Final answer
    x = 18,979.34

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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.