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Finding the Fourth Proportional to 83,408.94, 125,112.44 and 33,488.16

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Solution

The fourth proportional to 83,408.94, 125,112.44 and 33,488.16 is: 50,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408.94 : 125,112.44 = 33,488.16 : x
  2. Step 2: Convert to fraction form
    83,408.94/125,112.44 = 33,488.16/x
  3. Step 3: Cross multiply
    83,408.94x = 125,112.44 × 33,488.16
  4. Step 4: Simplify right side
    83,408.94x = 4,189,785,351.59
  5. Step 5: Solve for x
    x = 4,189,785,351.59/83,408.94
  6. Step 6: Final answer
    x = 50,231.85

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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.