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Finding the Fourth Proportional to 33,824.48, 50,745.36 and 12,765.92

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Solution

The fourth proportional to 33,824.48, 50,745.36 and 12,765.92 is: 19,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.48 : 50,745.36 = 12,765.92 : x
  2. Step 2: Convert to fraction form
    33,824.48/50,745.36 = 12,765.92/x
  3. Step 3: Cross multiply
    33,824.48x = 50,745.36 × 12,765.92
  4. Step 4: Simplify right side
    33,824.48x = 647,811,206.13
  5. Step 5: Solve for x
    x = 647,811,206.13/33,824.48
  6. Step 6: Final answer
    x = 19,152.14

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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.