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Finding the Fourth Proportional to 30,385.11, 45,577.67 and 8,198.49

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Solution

The fourth proportional to 30,385.11, 45,577.67 and 8,198.49 is: 12,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.11 : 45,577.67 = 8,198.49 : x
  2. Step 2: Convert to fraction form
    30,385.11/45,577.67 = 8,198.49/x
  3. Step 3: Cross multiply
    30,385.11x = 45,577.67 × 8,198.49
  4. Step 4: Simplify right side
    30,385.11x = 373,667,892.70
  5. Step 5: Solve for x
    x = 373,667,892.70/30,385.11
  6. Step 6: Final answer
    x = 12,297.73

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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.