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Finding the Fourth Proportional to 31,183.59, 43,033.34 and 16,843.42

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Solution

The fourth proportional to 31,183.59, 43,033.34 and 16,843.42 is: 23,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.59 : 43,033.34 = 16,843.42 : x
  2. Step 2: Convert to fraction form
    31,183.59/43,033.34 = 16,843.42/x
  3. Step 3: Cross multiply
    31,183.59x = 43,033.34 × 16,843.42
  4. Step 4: Simplify right side
    31,183.59x = 724,828,619.62
  5. Step 5: Solve for x
    x = 724,828,619.62/31,183.59
  6. Step 6: Final answer
    x = 23,243.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.