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Finding the Fourth Proportional to 31,108.65, 46,674.11 and 13,331.85

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Solution

The fourth proportional to 31,108.65, 46,674.11 and 13,331.85 is: 20,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.65 : 46,674.11 = 13,331.85 : x
  2. Step 2: Convert to fraction form
    31,108.65/46,674.11 = 13,331.85/x
  3. Step 3: Cross multiply
    31,108.65x = 46,674.11 × 13,331.85
  4. Step 4: Simplify right side
    31,108.65x = 622,252,233.40
  5. Step 5: Solve for x
    x = 622,252,233.40/31,108.65
  6. Step 6: Final answer
    x = 20,002.55

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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.