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Finding the Fourth Proportional to 75,408.17, 113,034.49 and 33,884.33

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Solution

The fourth proportional to 75,408.17, 113,034.49 and 33,884.33 is: 50,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,408.17 : 113,034.49 = 33,884.33 : x
  2. Step 2: Convert to fraction form
    75,408.17/113,034.49 = 33,884.33/x
  3. Step 3: Cross multiply
    75,408.17x = 113,034.49 × 33,884.33
  4. Step 4: Simplify right side
    75,408.17x = 3,830,097,310.66
  5. Step 5: Solve for x
    x = 3,830,097,310.66/75,408.17
  6. Step 6: Final answer
    x = 50,791.55

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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.