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Finding the Fourth Proportional to 33,847, 46,702.38 and 21,908.68

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Solution

The fourth proportional to 33,847, 46,702.38 and 21,908.68 is: 30,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,847 : 46,702.38 = 21,908.68 : x
  2. Step 2: Convert to fraction form
    33,847/46,702.38 = 21,908.68/x
  3. Step 3: Cross multiply
    33,847x = 46,702.38 × 21,908.68
  4. Step 4: Simplify right side
    33,847x = 1,023,187,498.66
  5. Step 5: Solve for x
    x = 1,023,187,498.66/33,847
  6. Step 6: Final answer
    x = 30,229.78

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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.