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Finding the Fourth Proportional to 71,168.88, 106,771.86 and 26,796

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Solution

The fourth proportional to 71,168.88, 106,771.86 and 26,796 is: 40,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,168.88 : 106,771.86 = 26,796 : x
  2. Step 2: Convert to fraction form
    71,168.88/106,771.86 = 26,796/x
  3. Step 3: Cross multiply
    71,168.88x = 106,771.86 × 26,796
  4. Step 4: Simplify right side
    71,168.88x = 2,861,058,760.56
  5. Step 5: Solve for x
    x = 2,861,058,760.56/71,168.88
  6. Step 6: Final answer
    x = 40,200.98

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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.