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Finding the Fourth Proportional to 67,178.56, 100,745.28 and 33,877.44

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Solution

The fourth proportional to 67,178.56, 100,745.28 and 33,877.44 is: 50,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,178.56 : 100,745.28 = 33,877.44 : x
  2. Step 2: Convert to fraction form
    67,178.56/100,745.28 = 33,877.44/x
  3. Step 3: Cross multiply
    67,178.56x = 100,745.28 × 33,877.44
  4. Step 4: Simplify right side
    67,178.56x = 3,412,992,178.48
  5. Step 5: Solve for x
    x = 3,412,992,178.48/67,178.56
  6. Step 6: Final answer
    x = 50,804.78

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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.