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Finding the Fourth Proportional to 33,679.80, 50,513.94 and 9,986.82

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Solution

The fourth proportional to 33,679.80, 50,513.94 and 9,986.82 is: 14,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,679.80 : 50,513.94 = 9,986.82 : x
  2. Step 2: Convert to fraction form
    33,679.80/50,513.94 = 9,986.82/x
  3. Step 3: Cross multiply
    33,679.80x = 50,513.94 × 9,986.82
  4. Step 4: Simplify right side
    33,679.80x = 504,473,626.27
  5. Step 5: Solve for x
    x = 504,473,626.27/33,679.80
  6. Step 6: Final answer
    x = 14,978.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.