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Finding the Fourth Proportional to 31,046.91, 42,844.74 and 16,899.75

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Solution

The fourth proportional to 31,046.91, 42,844.74 and 16,899.75 is: 23,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.91 : 42,844.74 = 16,899.75 : x
  2. Step 2: Convert to fraction form
    31,046.91/42,844.74 = 16,899.75/x
  3. Step 3: Cross multiply
    31,046.91x = 42,844.74 × 16,899.75
  4. Step 4: Simplify right side
    31,046.91x = 724,065,331.44
  5. Step 5: Solve for x
    x = 724,065,331.44/31,046.91
  6. Step 6: Final answer
    x = 23,321.66

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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.