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Finding the Fourth Proportional to 71,274.98, 106,936.22 and 23,894.75

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Solution

The fourth proportional to 71,274.98, 106,936.22 and 23,894.75 is: 35,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274.98 : 106,936.22 = 23,894.75 : x
  2. Step 2: Convert to fraction form
    71,274.98/106,936.22 = 23,894.75/x
  3. Step 3: Cross multiply
    71,274.98x = 106,936.22 × 23,894.75
  4. Step 4: Simplify right side
    71,274.98x = 2,555,214,390.71
  5. Step 5: Solve for x
    x = 2,555,214,390.71/71,274.98
  6. Step 6: Final answer
    x = 35,850.09

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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.