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Finding the Fourth Proportional to 36,524.24, 54,785.88 and 8,822

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Solution

The fourth proportional to 36,524.24, 54,785.88 and 8,822 is: 13,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,524.24 : 54,785.88 = 8,822 : x
  2. Step 2: Convert to fraction form
    36,524.24/54,785.88 = 8,822/x
  3. Step 3: Cross multiply
    36,524.24x = 54,785.88 × 8,822
  4. Step 4: Simplify right side
    36,524.24x = 483,321,033.36
  5. Step 5: Solve for x
    x = 483,321,033.36/36,524.24
  6. Step 6: Final answer
    x = 13,232.88

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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.