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Finding the Fourth Proportional to 30,067.20, 41,472 and 24,753.60

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Solution

The fourth proportional to 30,067.20, 41,472 and 24,753.60 is: 34,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,067.20 : 41,472 = 24,753.60 : x
  2. Step 2: Convert to fraction form
    30,067.20/41,472 = 24,753.60/x
  3. Step 3: Cross multiply
    30,067.20x = 41,472 × 24,753.60
  4. Step 4: Simplify right side
    30,067.20x = 1,026,581,299.20
  5. Step 5: Solve for x
    x = 1,026,581,299.20/30,067.20
  6. Step 6: Final answer
    x = 34,142.90

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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.