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Finding the Fourth Proportional to 33,414.21, 50,105.63 and 19,378.23

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Solution

The fourth proportional to 33,414.21, 50,105.63 and 19,378.23 is: 29,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414.21 : 50,105.63 = 19,378.23 : x
  2. Step 2: Convert to fraction form
    33,414.21/50,105.63 = 19,378.23/x
  3. Step 3: Cross multiply
    33,414.21x = 50,105.63 × 19,378.23
  4. Step 4: Simplify right side
    33,414.21x = 970,958,325.54
  5. Step 5: Solve for x
    x = 970,958,325.54/33,414.21
  6. Step 6: Final answer
    x = 29,058.25

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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.