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Finding the Fourth Proportional to 106,939, 160,408.50 and 33,067

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Solution

The fourth proportional to 106,939, 160,408.50 and 33,067 is: 49,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,939 : 160,408.50 = 33,067 : x
  2. Step 2: Convert to fraction form
    106,939/160,408.50 = 33,067/x
  3. Step 3: Cross multiply
    106,939x = 160,408.50 × 33,067
  4. Step 4: Simplify right side
    106,939x = 5,304,227,869.50
  5. Step 5: Solve for x
    x = 5,304,227,869.50/106,939
  6. Step 6: Final answer
    x = 49,600.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.