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Finding the Fourth Proportional to 99,538.78, 149,290.89 and 33,874.78

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Solution

The fourth proportional to 99,538.78, 149,290.89 and 33,874.78 is: 50,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,538.78 : 149,290.89 = 33,874.78 : x
  2. Step 2: Convert to fraction form
    99,538.78/149,290.89 = 33,874.78/x
  3. Step 3: Cross multiply
    99,538.78x = 149,290.89 × 33,874.78
  4. Step 4: Simplify right side
    99,538.78x = 5,057,196,054.75
  5. Step 5: Solve for x
    x = 5,057,196,054.75/99,538.78
  6. Step 6: Final answer
    x = 50,806.29

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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.