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Finding the Fourth Proportional to 33,778.76, 50,677.92 and 10,408.64

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Solution

The fourth proportional to 33,778.76, 50,677.92 and 10,408.64 is: 15,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778.76 : 50,677.92 = 10,408.64 : x
  2. Step 2: Convert to fraction form
    33,778.76/50,677.92 = 10,408.64/x
  3. Step 3: Cross multiply
    33,778.76x = 50,677.92 × 10,408.64
  4. Step 4: Simplify right side
    33,778.76x = 527,488,225.23
  5. Step 5: Solve for x
    x = 527,488,225.23/33,778.76
  6. Step 6: Final answer
    x = 15,615.97

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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.