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Finding the Fourth Proportional to 49,262, 73,893 and 12,326

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Solution

The fourth proportional to 49,262, 73,893 and 12,326 is: 18,489

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,262 : 73,893 = 12,326 : x
  2. Step 2: Convert to fraction form
    49,262/73,893 = 12,326/x
  3. Step 3: Cross multiply
    49,262x = 73,893 × 12,326
  4. Step 4: Simplify right side
    49,262x = 910,805,118
  5. Step 5: Solve for x
    x = 910,805,118/49,262
  6. Step 6: Final answer
    x = 18,489

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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.