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Finding the Fourth Proportional to 33,794, 50,714.04 and 11,906

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Solution

The fourth proportional to 33,794, 50,714.04 and 11,906 is: 17,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794 : 50,714.04 = 11,906 : x
  2. Step 2: Convert to fraction form
    33,794/50,714.04 = 11,906/x
  3. Step 3: Cross multiply
    33,794x = 50,714.04 × 11,906
  4. Step 4: Simplify right side
    33,794x = 603,801,360.24
  5. Step 5: Solve for x
    x = 603,801,360.24/33,794
  6. Step 6: Final answer
    x = 17,867.12

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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.