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Finding the Fourth Proportional to 33,811.64, 50,469.73 and 29,821.46

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Solution

The fourth proportional to 33,811.64, 50,469.73 and 29,821.46 is: 44,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811.64 : 50,469.73 = 29,821.46 : x
  2. Step 2: Convert to fraction form
    33,811.64/50,469.73 = 29,821.46/x
  3. Step 3: Cross multiply
    33,811.64x = 50,469.73 × 29,821.46
  4. Step 4: Simplify right side
    33,811.64x = 1,505,081,034.41
  5. Step 5: Solve for x
    x = 1,505,081,034.41/33,811.64
  6. Step 6: Final answer
    x = 44,513.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.