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Finding the Fourth Proportional to 33,902.26, 50,853.40 and 9,278.26

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Solution

The fourth proportional to 33,902.26, 50,853.40 and 9,278.26 is: 13,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902.26 : 50,853.40 = 9,278.26 : x
  2. Step 2: Convert to fraction form
    33,902.26/50,853.40 = 9,278.26/x
  3. Step 3: Cross multiply
    33,902.26x = 50,853.40 × 9,278.26
  4. Step 4: Simplify right side
    33,902.26x = 471,831,067.08
  5. Step 5: Solve for x
    x = 471,831,067.08/33,902.26
  6. Step 6: Final answer
    x = 13,917.39

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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.