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Finding the Fourth Proportional to 109,449.68, 164,179.49 and 33,542.76

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Solution

The fourth proportional to 109,449.68, 164,179.49 and 33,542.76 is: 50,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,449.68 : 164,179.49 = 33,542.76 : x
  2. Step 2: Convert to fraction form
    109,449.68/164,179.49 = 33,542.76/x
  3. Step 3: Cross multiply
    109,449.68x = 164,179.49 × 33,542.76
  4. Step 4: Simplify right side
    109,449.68x = 5,507,033,062.28
  5. Step 5: Solve for x
    x = 5,507,033,062.28/109,449.68
  6. Step 6: Final answer
    x = 50,315.66

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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.