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Finding the Fourth Proportional to 71,274.73, 106,935.84 and 23,894.50

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Solution

The fourth proportional to 71,274.73, 106,935.84 and 23,894.50 is: 35,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274.73 : 106,935.84 = 23,894.50 : x
  2. Step 2: Convert to fraction form
    71,274.73/106,935.84 = 23,894.50/x
  3. Step 3: Cross multiply
    71,274.73x = 106,935.84 × 23,894.50
  4. Step 4: Simplify right side
    71,274.73x = 2,555,178,309.41
  5. Step 5: Solve for x
    x = 2,555,178,309.41/71,274.73
  6. Step 6: Final answer
    x = 35,849.71

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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.