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Finding the Fourth Proportional to 33,782.25, 50,678.88 and 10,408.69

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Solution

The fourth proportional to 33,782.25, 50,678.88 and 10,408.69 is: 15,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.25 : 50,678.88 = 10,408.69 : x
  2. Step 2: Convert to fraction form
    33,782.25/50,678.88 = 10,408.69/x
  3. Step 3: Cross multiply
    33,782.25x = 50,678.88 × 10,408.69
  4. Step 4: Simplify right side
    33,782.25x = 527,500,751.47
  5. Step 5: Solve for x
    x = 527,500,751.47/33,782.25
  6. Step 6: Final answer
    x = 15,614.73

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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.