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Finding the Fourth Proportional to 71,267.56, 106,904.22 and 31,817.32

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Solution

The fourth proportional to 71,267.56, 106,904.22 and 31,817.32 is: 47,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,267.56 : 106,904.22 = 31,817.32 : x
  2. Step 2: Convert to fraction form
    71,267.56/106,904.22 = 31,817.32/x
  3. Step 3: Cross multiply
    71,267.56x = 106,904.22 × 31,817.32
  4. Step 4: Simplify right side
    71,267.56x = 3,401,405,777.09
  5. Step 5: Solve for x
    x = 3,401,405,777.09/71,267.56
  6. Step 6: Final answer
    x = 47,727.27

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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.