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Finding the Fourth Proportional to 33,677.40, 50,470.38 and 17,878.44

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Solution

The fourth proportional to 33,677.40, 50,470.38 and 17,878.44 is: 26,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,677.40 : 50,470.38 = 17,878.44 : x
  2. Step 2: Convert to fraction form
    33,677.40/50,470.38 = 17,878.44/x
  3. Step 3: Cross multiply
    33,677.40x = 50,470.38 × 17,878.44
  4. Step 4: Simplify right side
    33,677.40x = 902,331,660.61
  5. Step 5: Solve for x
    x = 902,331,660.61/33,677.40
  6. Step 6: Final answer
    x = 26,793.39

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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.