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Finding the Fourth Proportional to 33,923.66, 50,899.34 and 11,752.64

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Solution

The fourth proportional to 33,923.66, 50,899.34 and 11,752.64 is: 17,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923.66 : 50,899.34 = 11,752.64 : x
  2. Step 2: Convert to fraction form
    33,923.66/50,899.34 = 11,752.64/x
  3. Step 3: Cross multiply
    33,923.66x = 50,899.34 × 11,752.64
  4. Step 4: Simplify right side
    33,923.66x = 598,201,805.22
  5. Step 5: Solve for x
    x = 598,201,805.22/33,923.66
  6. Step 6: Final answer
    x = 17,633.76

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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.