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Finding the Fourth Proportional to 33,967.16, 50,951.34 and 11,781.32

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Solution

The fourth proportional to 33,967.16, 50,951.34 and 11,781.32 is: 17,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,967.16 : 50,951.34 = 11,781.32 : x
  2. Step 2: Convert to fraction form
    33,967.16/50,951.34 = 11,781.32/x
  3. Step 3: Cross multiply
    33,967.16x = 50,951.34 × 11,781.32
  4. Step 4: Simplify right side
    33,967.16x = 600,274,040.97
  5. Step 5: Solve for x
    x = 600,274,040.97/33,967.16
  6. Step 6: Final answer
    x = 17,672.19

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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.