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Finding the Fourth Proportional to 71,140.08, 106,721.71 and 33,227.27

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Solution

The fourth proportional to 71,140.08, 106,721.71 and 33,227.27 is: 49,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140.08 : 106,721.71 = 33,227.27 : x
  2. Step 2: Convert to fraction form
    71,140.08/106,721.71 = 33,227.27/x
  3. Step 3: Cross multiply
    71,140.08x = 106,721.71 × 33,227.27
  4. Step 4: Simplify right side
    71,140.08x = 3,546,071,073.03
  5. Step 5: Solve for x
    x = 3,546,071,073.03/71,140.08
  6. Step 6: Final answer
    x = 49,846.32

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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.