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Finding the Fourth Proportional to 71,166.21, 106,713.07 and 23,764.26

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Solution

The fourth proportional to 71,166.21, 106,713.07 and 23,764.26 is: 35,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,166.21 : 106,713.07 = 23,764.26 : x
  2. Step 2: Convert to fraction form
    71,166.21/106,713.07 = 23,764.26/x
  3. Step 3: Cross multiply
    71,166.21x = 106,713.07 × 23,764.26
  4. Step 4: Simplify right side
    71,166.21x = 2,535,957,140.88
  5. Step 5: Solve for x
    x = 2,535,957,140.88/71,166.21
  6. Step 6: Final answer
    x = 35,634.29

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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.