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Finding the Fourth Proportional to 33,531.84, 50,297.04 and 12,755.16

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Solution

The fourth proportional to 33,531.84, 50,297.04 and 12,755.16 is: 19,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531.84 : 50,297.04 = 12,755.16 : x
  2. Step 2: Convert to fraction form
    33,531.84/50,297.04 = 12,755.16/x
  3. Step 3: Cross multiply
    33,531.84x = 50,297.04 × 12,755.16
  4. Step 4: Simplify right side
    33,531.84x = 641,546,792.73
  5. Step 5: Solve for x
    x = 641,546,792.73/33,531.84
  6. Step 6: Final answer
    x = 19,132.47

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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.