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Finding the Fourth Proportional to 33,827.72, 50,733.50 and 12,769.80

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Solution

The fourth proportional to 33,827.72, 50,733.50 and 12,769.80 is: 19,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,827.72 : 50,733.50 = 12,769.80 : x
  2. Step 2: Convert to fraction form
    33,827.72/50,733.50 = 12,769.80/x
  3. Step 3: Cross multiply
    33,827.72x = 50,733.50 × 12,769.80
  4. Step 4: Simplify right side
    33,827.72x = 647,856,648.30
  5. Step 5: Solve for x
    x = 647,856,648.30/33,827.72
  6. Step 6: Final answer
    x = 19,151.65

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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.