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Finding the Fourth Proportional to 68,052.88, 102,082.20 and 33,022

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Solution

The fourth proportional to 68,052.88, 102,082.20 and 33,022 is: 49,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,052.88 : 102,082.20 = 33,022 : x
  2. Step 2: Convert to fraction form
    68,052.88/102,082.20 = 33,022/x
  3. Step 3: Cross multiply
    68,052.88x = 102,082.20 × 33,022
  4. Step 4: Simplify right side
    68,052.88x = 3,370,958,408.40
  5. Step 5: Solve for x
    x = 3,370,958,408.40/68,052.88
  6. Step 6: Final answer
    x = 49,534.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.