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Finding the Fourth Proportional to 109,664.43, 164,512.31 and 33,769.38

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Solution

The fourth proportional to 109,664.43, 164,512.31 and 33,769.38 is: 50,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,664.43 : 164,512.31 = 33,769.38 : x
  2. Step 2: Convert to fraction form
    109,664.43/164,512.31 = 33,769.38/x
  3. Step 3: Cross multiply
    109,664.43x = 164,512.31 × 33,769.38
  4. Step 4: Simplify right side
    109,664.43x = 5,555,478,711.07
  5. Step 5: Solve for x
    x = 5,555,478,711.07/109,664.43
  6. Step 6: Final answer
    x = 50,658.89

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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.