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Finding the Fourth Proportional to 31,141.89, 42,976.04 and 16,994.43

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Solution

The fourth proportional to 31,141.89, 42,976.04 and 16,994.43 is: 23,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.89 : 42,976.04 = 16,994.43 : x
  2. Step 2: Convert to fraction form
    31,141.89/42,976.04 = 16,994.43/x
  3. Step 3: Cross multiply
    31,141.89x = 42,976.04 × 16,994.43
  4. Step 4: Simplify right side
    31,141.89x = 730,353,218.49
  5. Step 5: Solve for x
    x = 730,353,218.49/31,141.89
  6. Step 6: Final answer
    x = 23,452.44

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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.