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Finding the Fourth Proportional to 30,382.15, 45,573.08 and 8,197.78

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Solution

The fourth proportional to 30,382.15, 45,573.08 and 8,197.78 is: 12,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.15 : 45,573.08 = 8,197.78 : x
  2. Step 2: Convert to fraction form
    30,382.15/45,573.08 = 8,197.78/x
  3. Step 3: Cross multiply
    30,382.15x = 45,573.08 × 8,197.78
  4. Step 4: Simplify right side
    30,382.15x = 373,597,855.90
  5. Step 5: Solve for x
    x = 373,597,855.90/30,382.15
  6. Step 6: Final answer
    x = 12,296.63

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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.