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Finding the Fourth Proportional to 71,267.10, 106,896.78 and 26,892.78

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Solution

The fourth proportional to 71,267.10, 106,896.78 and 26,892.78 is: 40,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,267.10 : 106,896.78 = 26,892.78 : x
  2. Step 2: Convert to fraction form
    71,267.10/106,896.78 = 26,892.78/x
  3. Step 3: Cross multiply
    71,267.10x = 106,896.78 × 26,892.78
  4. Step 4: Simplify right side
    71,267.10x = 2,874,751,587.25
  5. Step 5: Solve for x
    x = 2,874,751,587.25/71,267.10
  6. Step 6: Final answer
    x = 40,337.71

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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.