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Finding the Fourth Proportional to 31,163.34, 43,004.86 and 17,734.31

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Solution

The fourth proportional to 31,163.34, 43,004.86 and 17,734.31 is: 24,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.34 : 43,004.86 = 17,734.31 : x
  2. Step 2: Convert to fraction form
    31,163.34/43,004.86 = 17,734.31/x
  3. Step 3: Cross multiply
    31,163.34x = 43,004.86 × 17,734.31
  4. Step 4: Simplify right side
    31,163.34x = 762,661,518.75
  5. Step 5: Solve for x
    x = 762,661,518.75/31,163.34
  6. Step 6: Final answer
    x = 24,473.04

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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.