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Finding the Fourth Proportional to 33,786.28, 50,671.72 and 12,728.50

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Solution

The fourth proportional to 33,786.28, 50,671.72 and 12,728.50 is: 19,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,786.28 : 50,671.72 = 12,728.50 : x
  2. Step 2: Convert to fraction form
    33,786.28/50,671.72 = 12,728.50/x
  3. Step 3: Cross multiply
    33,786.28x = 50,671.72 × 12,728.50
  4. Step 4: Simplify right side
    33,786.28x = 644,974,988.02
  5. Step 5: Solve for x
    x = 644,974,988.02/33,786.28
  6. Step 6: Final answer
    x = 19,089.85

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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.