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Finding the Fourth Proportional to 31,178.68, 43,019.46 and 18,601

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Solution

The fourth proportional to 31,178.68, 43,019.46 and 18,601 is: 25,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.68 : 43,019.46 = 18,601 : x
  2. Step 2: Convert to fraction form
    31,178.68/43,019.46 = 18,601/x
  3. Step 3: Cross multiply
    31,178.68x = 43,019.46 × 18,601
  4. Step 4: Simplify right side
    31,178.68x = 800,204,975.46
  5. Step 5: Solve for x
    x = 800,204,975.46/31,178.68
  6. Step 6: Final answer
    x = 25,665.13

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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.