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Finding the Fourth Proportional to 33,531.84, 50,262.48 and 11,324.16

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Solution

The fourth proportional to 33,531.84, 50,262.48 and 11,324.16 is: 16,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531.84 : 50,262.48 = 11,324.16 : x
  2. Step 2: Convert to fraction form
    33,531.84/50,262.48 = 11,324.16/x
  3. Step 3: Cross multiply
    33,531.84x = 50,262.48 × 11,324.16
  4. Step 4: Simplify right side
    33,531.84x = 569,180,365.52
  5. Step 5: Solve for x
    x = 569,180,365.52/33,531.84
  6. Step 6: Final answer
    x = 16,974.33

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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.