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Finding the Fourth Proportional to 30,385.82, 45,578.73 and 8,199.19

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Solution

The fourth proportional to 30,385.82, 45,578.73 and 8,199.19 is: 12,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.82 : 45,578.73 = 8,199.19 : x
  2. Step 2: Convert to fraction form
    30,385.82/45,578.73 = 8,199.19/x
  3. Step 3: Cross multiply
    30,385.82x = 45,578.73 × 8,199.19
  4. Step 4: Simplify right side
    30,385.82x = 373,708,685.77
  5. Step 5: Solve for x
    x = 373,708,685.77/30,385.82
  6. Step 6: Final answer
    x = 12,298.79

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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.