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Finding the Fourth Proportional to 49,037.22, 67,662 and 33,906.42

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Solution

The fourth proportional to 49,037.22, 67,662 and 33,906.42 is: 46,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,037.22 : 67,662 = 33,906.42 : x
  2. Step 2: Convert to fraction form
    49,037.22/67,662 = 33,906.42/x
  3. Step 3: Cross multiply
    49,037.22x = 67,662 × 33,906.42
  4. Step 4: Simplify right side
    49,037.22x = 2,294,176,190.04
  5. Step 5: Solve for x
    x = 2,294,176,190.04/49,037.22
  6. Step 6: Final answer
    x = 46,784.39

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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.