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Finding the Fourth Proportional to 109,663.43, 164,510.81 and 33,768.38

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Solution

The fourth proportional to 109,663.43, 164,510.81 and 33,768.38 is: 50,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663.43 : 164,510.81 = 33,768.38 : x
  2. Step 2: Convert to fraction form
    109,663.43/164,510.81 = 33,768.38/x
  3. Step 3: Cross multiply
    109,663.43x = 164,510.81 × 33,768.38
  4. Step 4: Simplify right side
    109,663.43x = 5,555,263,546.19
  5. Step 5: Solve for x
    x = 5,555,263,546.19/109,663.43
  6. Step 6: Final answer
    x = 50,657.39

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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.