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Finding the Fourth Proportional to 49,853, 68,802 and 27,497

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Solution

The fourth proportional to 49,853, 68,802 and 27,497 is: 37,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,853 : 68,802 = 27,497 : x
  2. Step 2: Convert to fraction form
    49,853/68,802 = 27,497/x
  3. Step 3: Cross multiply
    49,853x = 68,802 × 27,497
  4. Step 4: Simplify right side
    49,853x = 1,891,848,594
  5. Step 5: Solve for x
    x = 1,891,848,594/49,853
  6. Step 6: Final answer
    x = 37,948.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.