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Finding the Fourth Proportional to 31,164.98, 46,761.11 and 16,370.54

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Solution

The fourth proportional to 31,164.98, 46,761.11 and 16,370.54 is: 24,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.98 : 46,761.11 = 16,370.54 : x
  2. Step 2: Convert to fraction form
    31,164.98/46,761.11 = 16,370.54/x
  3. Step 3: Cross multiply
    31,164.98x = 46,761.11 × 16,370.54
  4. Step 4: Simplify right side
    31,164.98x = 765,504,306.04
  5. Step 5: Solve for x
    x = 765,504,306.04/31,164.98
  6. Step 6: Final answer
    x = 24,562.97

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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.