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Finding the Fourth Proportional to 73,067.94, 109,513.80 and 35,571.84

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Solution

The fourth proportional to 73,067.94, 109,513.80 and 35,571.84 is: 53,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,067.94 : 109,513.80 = 35,571.84 : x
  2. Step 2: Convert to fraction form
    73,067.94/109,513.80 = 35,571.84/x
  3. Step 3: Cross multiply
    73,067.94x = 109,513.80 × 35,571.84
  4. Step 4: Simplify right side
    73,067.94x = 3,895,607,371.39
  5. Step 5: Solve for x
    x = 3,895,607,371.39/73,067.94
  6. Step 6: Final answer
    x = 53,314.87

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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.