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Finding the Fourth Proportional to 30,282.92, 41,766.72 and 19,676

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Solution

The fourth proportional to 30,282.92, 41,766.72 and 19,676 is: 27,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.92 : 41,766.72 = 19,676 : x
  2. Step 2: Convert to fraction form
    30,282.92/41,766.72 = 19,676/x
  3. Step 3: Cross multiply
    30,282.92x = 41,766.72 × 19,676
  4. Step 4: Simplify right side
    30,282.92x = 821,801,982.72
  5. Step 5: Solve for x
    x = 821,801,982.72/30,282.92
  6. Step 6: Final answer
    x = 27,137.47

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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.