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Finding the Fourth Proportional to 30,218.82, 45,324.62 and 8,033.90

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Solution

The fourth proportional to 30,218.82, 45,324.62 and 8,033.90 is: 12,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218.82 : 45,324.62 = 8,033.90 : x
  2. Step 2: Convert to fraction form
    30,218.82/45,324.62 = 8,033.90/x
  3. Step 3: Cross multiply
    30,218.82x = 45,324.62 × 8,033.90
  4. Step 4: Simplify right side
    30,218.82x = 364,133,464.62
  5. Step 5: Solve for x
    x = 364,133,464.62/30,218.82
  6. Step 6: Final answer
    x = 12,049.89

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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.