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Finding the Fourth Proportional to 33,472.91, 50,214.07 and 9,782.21

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Solution

The fourth proportional to 33,472.91, 50,214.07 and 9,782.21 is: 14,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,472.91 : 50,214.07 = 9,782.21 : x
  2. Step 2: Convert to fraction form
    33,472.91/50,214.07 = 9,782.21/x
  3. Step 3: Cross multiply
    33,472.91x = 50,214.07 × 9,782.21
  4. Step 4: Simplify right side
    33,472.91x = 491,204,577.69
  5. Step 5: Solve for x
    x = 491,204,577.69/33,472.91
  6. Step 6: Final answer
    x = 14,674.69

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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.