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Finding the Fourth Proportional to 31,159.92, 42,998.94 and 17,734.44

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Solution

The fourth proportional to 31,159.92, 42,998.94 and 17,734.44 is: 24,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.92 : 42,998.94 = 17,734.44 : x
  2. Step 2: Convert to fraction form
    31,159.92/42,998.94 = 17,734.44/x
  3. Step 3: Cross multiply
    31,159.92x = 42,998.94 × 17,734.44
  4. Step 4: Simplify right side
    31,159.92x = 762,562,121.49
  5. Step 5: Solve for x
    x = 762,562,121.49/31,159.92
  6. Step 6: Final answer
    x = 24,472.53

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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.