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Finding the Fourth Proportional to 33,821.82, 50,667.12 and 24,921

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Solution

The fourth proportional to 33,821.82, 50,667.12 and 24,921 is: 37,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821.82 : 50,667.12 = 24,921 : x
  2. Step 2: Convert to fraction form
    33,821.82/50,667.12 = 24,921/x
  3. Step 3: Cross multiply
    33,821.82x = 50,667.12 × 24,921
  4. Step 4: Simplify right side
    33,821.82x = 1,262,675,297.52
  5. Step 5: Solve for x
    x = 1,262,675,297.52/33,821.82
  6. Step 6: Final answer
    x = 37,333.16

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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.