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Finding the Fourth Proportional to 71,173.94, 106,758.83 and 18,583.43

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Solution

The fourth proportional to 71,173.94, 106,758.83 and 18,583.43 is: 27,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,173.94 : 106,758.83 = 18,583.43 : x
  2. Step 2: Convert to fraction form
    71,173.94/106,758.83 = 18,583.43/x
  3. Step 3: Cross multiply
    71,173.94x = 106,758.83 × 18,583.43
  4. Step 4: Simplify right side
    71,173.94x = 1,983,944,617.48
  5. Step 5: Solve for x
    x = 1,983,944,617.48/71,173.94
  6. Step 6: Final answer
    x = 27,874.60

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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.