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Finding the Fourth Proportional to 75,963.49, 113,975.89 and 33,814.77

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Solution

The fourth proportional to 75,963.49, 113,975.89 and 33,814.77 is: 50,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,963.49 : 113,975.89 = 33,814.77 : x
  2. Step 2: Convert to fraction form
    75,963.49/113,975.89 = 33,814.77/x
  3. Step 3: Cross multiply
    75,963.49x = 113,975.89 × 33,814.77
  4. Step 4: Simplify right side
    75,963.49x = 3,854,067,993.95
  5. Step 5: Solve for x
    x = 3,854,067,993.95/75,963.49
  6. Step 6: Final answer
    x = 50,735.80

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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.