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Finding the Fourth Proportional to 71,183.41, 106,969.11 and 37,927.24

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Solution

The fourth proportional to 71,183.41, 106,969.11 and 37,927.24 is: 56,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,183.41 : 106,969.11 = 37,927.24 : x
  2. Step 2: Convert to fraction form
    71,183.41/106,969.11 = 37,927.24/x
  3. Step 3: Cross multiply
    71,183.41x = 106,969.11 × 37,927.24
  4. Step 4: Simplify right side
    71,183.41x = 4,057,043,107.56
  5. Step 5: Solve for x
    x = 4,057,043,107.56/71,183.41
  6. Step 6: Final answer
    x = 56,994.22

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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.