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Finding the Fourth Proportional to 115,494, 173,241 and 27,942

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Solution

The fourth proportional to 115,494, 173,241 and 27,942 is: 41,913

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,494 : 173,241 = 27,942 : x
  2. Step 2: Convert to fraction form
    115,494/173,241 = 27,942/x
  3. Step 3: Cross multiply
    115,494x = 173,241 × 27,942
  4. Step 4: Simplify right side
    115,494x = 4,840,700,022
  5. Step 5: Solve for x
    x = 4,840,700,022/115,494
  6. Step 6: Final answer
    x = 41,913

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.