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Finding the Fourth Proportional to 45,082.57, 62,193 and 29,172.16

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Solution

The fourth proportional to 45,082.57, 62,193 and 29,172.16 is: 40,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,082.57 : 62,193 = 29,172.16 : x
  2. Step 2: Convert to fraction form
    45,082.57/62,193 = 29,172.16/x
  3. Step 3: Cross multiply
    45,082.57x = 62,193 × 29,172.16
  4. Step 4: Simplify right side
    45,082.57x = 1,814,304,146.88
  5. Step 5: Solve for x
    x = 1,814,304,146.88/45,082.57
  6. Step 6: Final answer
    x = 40,244.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.