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Finding the Fourth Proportional to 30,385.55, 45,578.32 and 8,198.93

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Solution

The fourth proportional to 30,385.55, 45,578.32 and 8,198.93 is: 12,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.55 : 45,578.32 = 8,198.93 : x
  2. Step 2: Convert to fraction form
    30,385.55/45,578.32 = 8,198.93/x
  3. Step 3: Cross multiply
    30,385.55x = 45,578.32 × 8,198.93
  4. Step 4: Simplify right side
    30,385.55x = 373,693,247.80
  5. Step 5: Solve for x
    x = 373,693,247.80/30,385.55
  6. Step 6: Final answer
    x = 12,298.39

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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.