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Finding the Fourth Proportional to 71,322.20, 106,934.70 and 33,900.20

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Solution

The fourth proportional to 71,322.20, 106,934.70 and 33,900.20 is: 50,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,322.20 : 106,934.70 = 33,900.20 : x
  2. Step 2: Convert to fraction form
    71,322.20/106,934.70 = 33,900.20/x
  3. Step 3: Cross multiply
    71,322.20x = 106,934.70 × 33,900.20
  4. Step 4: Simplify right side
    71,322.20x = 3,625,107,716.94
  5. Step 5: Solve for x
    x = 3,625,107,716.94/71,322.20
  6. Step 6: Final answer
    x = 50,827.20

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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.