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Finding the Fourth Proportional to 73,122.44, 109,724.20 and 35,682.82

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Solution

The fourth proportional to 73,122.44, 109,724.20 and 35,682.82 is: 53,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,122.44 : 109,724.20 = 35,682.82 : x
  2. Step 2: Convert to fraction form
    73,122.44/109,724.20 = 35,682.82/x
  3. Step 3: Cross multiply
    73,122.44x = 109,724.20 × 35,682.82
  4. Step 4: Simplify right side
    73,122.44x = 3,915,268,514.73
  5. Step 5: Solve for x
    x = 3,915,268,514.73/73,122.44
  6. Step 6: Final answer
    x = 53,544.01

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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.