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Finding the Fourth Proportional to 33,864, 50,767.04 and 13,102.08

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Solution

The fourth proportional to 33,864, 50,767.04 and 13,102.08 is: 19,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864 : 50,767.04 = 13,102.08 : x
  2. Step 2: Convert to fraction form
    33,864/50,767.04 = 13,102.08/x
  3. Step 3: Cross multiply
    33,864x = 50,767.04 × 13,102.08
  4. Step 4: Simplify right side
    33,864x = 665,153,819.44
  5. Step 5: Solve for x
    x = 665,153,819.44/33,864
  6. Step 6: Final answer
    x = 19,641.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.