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Finding the Fourth Proportional to 70,771.14, 106,164.15 and 35,241.27

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Solution

The fourth proportional to 70,771.14, 106,164.15 and 35,241.27 is: 52,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,771.14 : 106,164.15 = 35,241.27 : x
  2. Step 2: Convert to fraction form
    70,771.14/106,164.15 = 35,241.27/x
  3. Step 3: Cross multiply
    70,771.14x = 106,164.15 × 35,241.27
  4. Step 4: Simplify right side
    70,771.14x = 3,741,359,474.47
  5. Step 5: Solve for x
    x = 3,741,359,474.47/70,771.14
  6. Step 6: Final answer
    x = 52,865.61

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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.