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Finding the Fourth Proportional to 71,162.85, 106,662.10 and 26,761.28

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Solution

The fourth proportional to 71,162.85, 106,662.10 and 26,761.28 is: 40,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,162.85 : 106,662.10 = 26,761.28 : x
  2. Step 2: Convert to fraction form
    71,162.85/106,662.10 = 26,761.28/x
  3. Step 3: Cross multiply
    71,162.85x = 106,662.10 × 26,761.28
  4. Step 4: Simplify right side
    71,162.85x = 2,854,414,323.49
  5. Step 5: Solve for x
    x = 2,854,414,323.49/71,162.85
  6. Step 6: Final answer
    x = 40,111.02

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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.