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Finding the Fourth Proportional to 114,651.97, 171,983.94 and 34,687.91

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Solution

The fourth proportional to 114,651.97, 171,983.94 and 34,687.91 is: 52,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,651.97 : 171,983.94 = 34,687.91 : x
  2. Step 2: Convert to fraction form
    114,651.97/171,983.94 = 34,687.91/x
  3. Step 3: Cross multiply
    114,651.97x = 171,983.94 × 34,687.91
  4. Step 4: Simplify right side
    114,651.97x = 5,965,763,432.17
  5. Step 5: Solve for x
    x = 5,965,763,432.17/114,651.97
  6. Step 6: Final answer
    x = 52,033.68

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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.