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Finding the Fourth Proportional to 33,163.26, 49,749.75 and 9,786.66

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Solution

The fourth proportional to 33,163.26, 49,749.75 and 9,786.66 is: 14,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.26 : 49,749.75 = 9,786.66 : x
  2. Step 2: Convert to fraction form
    33,163.26/49,749.75 = 9,786.66/x
  3. Step 3: Cross multiply
    33,163.26x = 49,749.75 × 9,786.66
  4. Step 4: Simplify right side
    33,163.26x = 486,883,888.34
  5. Step 5: Solve for x
    x = 486,883,888.34/33,163.26
  6. Step 6: Final answer
    x = 14,681.42

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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.