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Finding the Fourth Proportional to 33,675.39, 50,513.22 and 10,301.76

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Solution

The fourth proportional to 33,675.39, 50,513.22 and 10,301.76 is: 15,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675.39 : 50,513.22 = 10,301.76 : x
  2. Step 2: Convert to fraction form
    33,675.39/50,513.22 = 10,301.76/x
  3. Step 3: Cross multiply
    33,675.39x = 50,513.22 × 10,301.76
  4. Step 4: Simplify right side
    33,675.39x = 520,375,069.27
  5. Step 5: Solve for x
    x = 520,375,069.27/33,675.39
  6. Step 6: Final answer
    x = 15,452.68

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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.