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Finding the Fourth Proportional to 71,173.22, 106,723.56 and 23,771.26

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Solution

The fourth proportional to 71,173.22, 106,723.56 and 23,771.26 is: 35,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,173.22 : 106,723.56 = 23,771.26 : x
  2. Step 2: Convert to fraction form
    71,173.22/106,723.56 = 23,771.26/x
  3. Step 3: Cross multiply
    71,173.22x = 106,723.56 × 23,771.26
  4. Step 4: Simplify right side
    71,173.22x = 2,536,953,492.89
  5. Step 5: Solve for x
    x = 2,536,953,492.89/71,173.22
  6. Step 6: Final answer
    x = 35,644.78

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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.