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Finding the Fourth Proportional to 129,581.79, 194,239.52 and 49,601

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Solution

The fourth proportional to 129,581.79, 194,239.52 and 49,601 is: 74,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,581.79 : 194,239.52 = 49,601 : x
  2. Step 2: Convert to fraction form
    129,581.79/194,239.52 = 49,601/x
  3. Step 3: Cross multiply
    129,581.79x = 194,239.52 × 49,601
  4. Step 4: Simplify right side
    129,581.79x = 9,634,474,183.52
  5. Step 5: Solve for x
    x = 9,634,474,183.52/129,581.79
  6. Step 6: Final answer
    x = 74,350.53

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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.