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Finding the Fourth Proportional to 70,914.36, 106,382.52 and 24,163.68

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Solution

The fourth proportional to 70,914.36, 106,382.52 and 24,163.68 is: 36,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,914.36 : 106,382.52 = 24,163.68 : x
  2. Step 2: Convert to fraction form
    70,914.36/106,382.52 = 24,163.68/x
  3. Step 3: Cross multiply
    70,914.36x = 106,382.52 × 24,163.68
  4. Step 4: Simplify right side
    70,914.36x = 2,570,593,170.87
  5. Step 5: Solve for x
    x = 2,570,593,170.87/70,914.36
  6. Step 6: Final answer
    x = 36,249.26

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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.