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Finding the Fourth Proportional to 49,433.52, 68,203.96 and 27,922.12

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Solution

The fourth proportional to 49,433.52, 68,203.96 and 27,922.12 is: 38,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,433.52 : 68,203.96 = 27,922.12 : x
  2. Step 2: Convert to fraction form
    49,433.52/68,203.96 = 27,922.12/x
  3. Step 3: Cross multiply
    49,433.52x = 68,203.96 × 27,922.12
  4. Step 4: Simplify right side
    49,433.52x = 1,904,399,155.60
  5. Step 5: Solve for x
    x = 1,904,399,155.60/49,433.52
  6. Step 6: Final answer
    x = 38,524.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.