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Finding the Fourth Proportional to 33,537.97, 50,314.22 and 10,166.17

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Solution

The fourth proportional to 33,537.97, 50,314.22 and 10,166.17 is: 15,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.97 : 50,314.22 = 10,166.17 : x
  2. Step 2: Convert to fraction form
    33,537.97/50,314.22 = 10,166.17/x
  3. Step 3: Cross multiply
    33,537.97x = 50,314.22 × 10,166.17
  4. Step 4: Simplify right side
    33,537.97x = 511,502,863.11
  5. Step 5: Solve for x
    x = 511,502,863.11/33,537.97
  6. Step 6: Final answer
    x = 15,251.46

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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.