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Finding the Fourth Proportional to 71,269.14, 106,958.82 and 35,765.91

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Solution

The fourth proportional to 71,269.14, 106,958.82 and 35,765.91 is: 53,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,269.14 : 106,958.82 = 35,765.91 : x
  2. Step 2: Convert to fraction form
    71,269.14/106,958.82 = 35,765.91/x
  3. Step 3: Cross multiply
    71,269.14x = 106,958.82 × 35,765.91
  4. Step 4: Simplify right side
    71,269.14x = 3,825,479,529.83
  5. Step 5: Solve for x
    x = 3,825,479,529.83/71,269.14
  6. Step 6: Final answer
    x = 53,676.52

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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.