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Finding the Fourth Proportional to 109,438.17, 164,162.28 and 33,531.27

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Solution

The fourth proportional to 109,438.17, 164,162.28 and 33,531.27 is: 50,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,438.17 : 164,162.28 = 33,531.27 : x
  2. Step 2: Convert to fraction form
    109,438.17/164,162.28 = 33,531.27/x
  3. Step 3: Cross multiply
    109,438.17x = 164,162.28 × 33,531.27
  4. Step 4: Simplify right side
    109,438.17x = 5,504,569,324.09
  5. Step 5: Solve for x
    x = 5,504,569,324.09/109,438.17
  6. Step 6: Final answer
    x = 50,298.44

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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.