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Finding the Fourth Proportional to 30,218.82, 45,324.63 and 8,033.82

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Solution

The fourth proportional to 30,218.82, 45,324.63 and 8,033.82 is: 12,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218.82 : 45,324.63 = 8,033.82 : x
  2. Step 2: Convert to fraction form
    30,218.82/45,324.63 = 8,033.82/x
  3. Step 3: Cross multiply
    30,218.82x = 45,324.63 × 8,033.82
  4. Step 4: Simplify right side
    30,218.82x = 364,129,918.99
  5. Step 5: Solve for x
    x = 364,129,918.99/30,218.82
  6. Step 6: Final answer
    x = 12,049.77

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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.