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Finding the Fourth Proportional to 31,077.97, 46,616.31 and 8,891.19

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Solution

The fourth proportional to 31,077.97, 46,616.31 and 8,891.19 is: 13,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077.97 : 46,616.31 = 8,891.19 : x
  2. Step 2: Convert to fraction form
    31,077.97/46,616.31 = 8,891.19/x
  3. Step 3: Cross multiply
    31,077.97x = 46,616.31 × 8,891.19
  4. Step 4: Simplify right side
    31,077.97x = 414,474,469.31
  5. Step 5: Solve for x
    x = 414,474,469.31/31,077.97
  6. Step 6: Final answer
    x = 13,336.60

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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.