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Finding the Fourth Proportional to 71,367.90, 106,906.50 and 33,814.14

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Solution

The fourth proportional to 71,367.90, 106,906.50 and 33,814.14 is: 50,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,367.90 : 106,906.50 = 33,814.14 : x
  2. Step 2: Convert to fraction form
    71,367.90/106,906.50 = 33,814.14/x
  3. Step 3: Cross multiply
    71,367.90x = 106,906.50 × 33,814.14
  4. Step 4: Simplify right side
    71,367.90x = 3,614,951,357.91
  5. Step 5: Solve for x
    x = 3,614,951,357.91/71,367.90
  6. Step 6: Final answer
    x = 50,652.34

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1.5x scale

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.