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Finding the Fourth Proportional to 33,782.92, 50,673.16 and 10,408.76

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Solution

The fourth proportional to 33,782.92, 50,673.16 and 10,408.76 is: 15,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.92 : 50,673.16 = 10,408.76 : x
  2. Step 2: Convert to fraction form
    33,782.92/50,673.16 = 10,408.76/x
  3. Step 3: Cross multiply
    33,782.92x = 50,673.16 × 10,408.76
  4. Step 4: Simplify right side
    33,782.92x = 527,444,760.88
  5. Step 5: Solve for x
    x = 527,444,760.88/33,782.92
  6. Step 6: Final answer
    x = 15,612.76

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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.