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Finding the Fourth Proportional to 71,776.77, 107,672.33 and 27,440.82

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Solution

The fourth proportional to 71,776.77, 107,672.33 and 27,440.82 is: 41,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776.77 : 107,672.33 = 27,440.82 : x
  2. Step 2: Convert to fraction form
    71,776.77/107,672.33 = 27,440.82/x
  3. Step 3: Cross multiply
    71,776.77x = 107,672.33 × 27,440.82
  4. Step 4: Simplify right side
    71,776.77x = 2,954,616,889.31
  5. Step 5: Solve for x
    x = 2,954,616,889.31/71,776.77
  6. Step 6: Final answer
    x = 41,163.97

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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.