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Finding the Fourth Proportional to 30,385.57, 45,578.36 and 8,198.95

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Solution

The fourth proportional to 30,385.57, 45,578.36 and 8,198.95 is: 12,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.57 : 45,578.36 = 8,198.95 : x
  2. Step 2: Convert to fraction form
    30,385.57/45,578.36 = 8,198.95/x
  3. Step 3: Cross multiply
    30,385.57x = 45,578.36 × 8,198.95
  4. Step 4: Simplify right side
    30,385.57x = 373,694,560.28
  5. Step 5: Solve for x
    x = 373,694,560.28/30,385.57
  6. Step 6: Final answer
    x = 12,298.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.