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Finding the Fourth Proportional to 71,270.61, 106,903.71 and 33,857.61

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Solution

The fourth proportional to 71,270.61, 106,903.71 and 33,857.61 is: 50,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,270.61 : 106,903.71 = 33,857.61 : x
  2. Step 2: Convert to fraction form
    71,270.61/106,903.71 = 33,857.61/x
  3. Step 3: Cross multiply
    71,270.61x = 106,903.71 × 33,857.61
  4. Step 4: Simplify right side
    71,270.61x = 3,619,504,120.73
  5. Step 5: Solve for x
    x = 3,619,504,120.73/71,270.61
  6. Step 6: Final answer
    x = 50,785.37

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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.