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Finding the Fourth Proportional to 30,209.82, 41,677.92 and 22,270.92

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Solution

The fourth proportional to 30,209.82, 41,677.92 and 22,270.92 is: 30,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.82 : 41,677.92 = 22,270.92 : x
  2. Step 2: Convert to fraction form
    30,209.82/41,677.92 = 22,270.92/x
  3. Step 3: Cross multiply
    30,209.82x = 41,677.92 × 22,270.92
  4. Step 4: Simplify right side
    30,209.82x = 928,205,622.09
  5. Step 5: Solve for x
    x = 928,205,622.09/30,209.82
  6. Step 6: Final answer
    x = 30,725.29

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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.