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Finding the Fourth Proportional to 33,451.84, 50,176.64 and 11,264.80

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Solution

The fourth proportional to 33,451.84, 50,176.64 and 11,264.80 is: 16,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,451.84 : 50,176.64 = 11,264.80 : x
  2. Step 2: Convert to fraction form
    33,451.84/50,176.64 = 11,264.80/x
  3. Step 3: Cross multiply
    33,451.84x = 50,176.64 × 11,264.80
  4. Step 4: Simplify right side
    33,451.84x = 565,229,814.27
  5. Step 5: Solve for x
    x = 565,229,814.27/33,451.84
  6. Step 6: Final answer
    x = 16,896.82

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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.