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Finding the Fourth Proportional to 73,229.68, 109,844.70 and 17,825.68

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Solution

The fourth proportional to 73,229.68, 109,844.70 and 17,825.68 is: 26,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,229.68 : 109,844.70 = 17,825.68 : x
  2. Step 2: Convert to fraction form
    73,229.68/109,844.70 = 17,825.68/x
  3. Step 3: Cross multiply
    73,229.68x = 109,844.70 × 17,825.68
  4. Step 4: Simplify right side
    73,229.68x = 1,958,056,471.90
  5. Step 5: Solve for x
    x = 1,958,056,471.90/73,229.68
  6. Step 6: Final answer
    x = 26,738.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.