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Finding the Fourth Proportional to 30,200.80, 41,675.08 and 16,771.44

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Solution

The fourth proportional to 30,200.80, 41,675.08 and 16,771.44 is: 23,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.80 : 41,675.08 = 16,771.44 : x
  2. Step 2: Convert to fraction form
    30,200.80/41,675.08 = 16,771.44/x
  3. Step 3: Cross multiply
    30,200.80x = 41,675.08 × 16,771.44
  4. Step 4: Simplify right side
    30,200.80x = 698,951,103.72
  5. Step 5: Solve for x
    x = 698,951,103.72/30,200.80
  6. Step 6: Final answer
    x = 23,143.46

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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.