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Finding the Fourth Proportional to 33,828.50, 50,737.24 and 11,349.13

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Solution

The fourth proportional to 33,828.50, 50,737.24 and 11,349.13 is: 17,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.50 : 50,737.24 = 11,349.13 : x
  2. Step 2: Convert to fraction form
    33,828.50/50,737.24 = 11,349.13/x
  3. Step 3: Cross multiply
    33,828.50x = 50,737.24 × 11,349.13
  4. Step 4: Simplify right side
    33,828.50x = 575,823,377.39
  5. Step 5: Solve for x
    x = 575,823,377.39/33,828.50
  6. Step 6: Final answer
    x = 17,021.84

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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.