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Finding the Fourth Proportional to 62,082.36, 85,671 and 33,788.16

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Solution

The fourth proportional to 62,082.36, 85,671 and 33,788.16 is: 46,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,082.36 : 85,671 = 33,788.16 : x
  2. Step 2: Convert to fraction form
    62,082.36/85,671 = 33,788.16/x
  3. Step 3: Cross multiply
    62,082.36x = 85,671 × 33,788.16
  4. Step 4: Simplify right side
    62,082.36x = 2,894,665,455.36
  5. Step 5: Solve for x
    x = 2,894,665,455.36/62,082.36
  6. Step 6: Final answer
    x = 46,626.21

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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.