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Finding the Fourth Proportional to 49,204, 73,806 and 16,372

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Solution

The fourth proportional to 49,204, 73,806 and 16,372 is: 24,558

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,204 : 73,806 = 16,372 : x
  2. Step 2: Convert to fraction form
    49,204/73,806 = 16,372/x
  3. Step 3: Cross multiply
    49,204x = 73,806 × 16,372
  4. Step 4: Simplify right side
    49,204x = 1,208,351,832
  5. Step 5: Solve for x
    x = 1,208,351,832/49,204
  6. Step 6: Final answer
    x = 24,558

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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.