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Finding the Fourth Proportional to 31,305.38, 46,965.75 and 9,118.96

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Solution

The fourth proportional to 31,305.38, 46,965.75 and 9,118.96 is: 13,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.38 : 46,965.75 = 9,118.96 : x
  2. Step 2: Convert to fraction form
    31,305.38/46,965.75 = 9,118.96/x
  3. Step 3: Cross multiply
    31,305.38x = 46,965.75 × 9,118.96
  4. Step 4: Simplify right side
    31,305.38x = 428,278,795.62
  5. Step 5: Solve for x
    x = 428,278,795.62/31,305.38
  6. Step 6: Final answer
    x = 13,680.68

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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.