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Finding the Fourth Proportional to 33,205.14, 49,793.05 and 9,507.31

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Solution

The fourth proportional to 33,205.14, 49,793.05 and 9,507.31 is: 14,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.14 : 49,793.05 = 9,507.31 : x
  2. Step 2: Convert to fraction form
    33,205.14/49,793.05 = 9,507.31/x
  3. Step 3: Cross multiply
    33,205.14x = 49,793.05 × 9,507.31
  4. Step 4: Simplify right side
    33,205.14x = 473,397,665.69
  5. Step 5: Solve for x
    x = 473,397,665.69/33,205.14
  6. Step 6: Final answer
    x = 14,256.76

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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.