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Finding the Fourth Proportional to 49,212.48, 67,914.72 and 27,994.80

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Solution

The fourth proportional to 49,212.48, 67,914.72 and 27,994.80 is: 38,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,212.48 : 67,914.72 = 27,994.80 : x
  2. Step 2: Convert to fraction form
    49,212.48/67,914.72 = 27,994.80/x
  3. Step 3: Cross multiply
    49,212.48x = 67,914.72 × 27,994.80
  4. Step 4: Simplify right side
    49,212.48x = 1,901,259,003.46
  5. Step 5: Solve for x
    x = 1,901,259,003.46/49,212.48
  6. Step 6: Final answer
    x = 38,633.68

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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.