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Finding the Fourth Proportional to 49,856, 68,806.14 and 27,500

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Solution

The fourth proportional to 49,856, 68,806.14 and 27,500 is: 37,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,856 : 68,806.14 = 27,500 : x
  2. Step 2: Convert to fraction form
    49,856/68,806.14 = 27,500/x
  3. Step 3: Cross multiply
    49,856x = 68,806.14 × 27,500
  4. Step 4: Simplify right side
    49,856x = 1,892,168,850
  5. Step 5: Solve for x
    x = 1,892,168,850/49,856
  6. Step 6: Final answer
    x = 37,952.68

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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.