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Finding the Fourth Proportional to 49,236.80, 67,939.40 and 27,723.42

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Solution

The fourth proportional to 49,236.80, 67,939.40 and 27,723.42 is: 38,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236.80 : 67,939.40 = 27,723.42 : x
  2. Step 2: Convert to fraction form
    49,236.80/67,939.40 = 27,723.42/x
  3. Step 3: Cross multiply
    49,236.80x = 67,939.40 × 27,723.42
  4. Step 4: Simplify right side
    49,236.80x = 1,883,512,590.06
  5. Step 5: Solve for x
    x = 1,883,512,590.06/49,236.80
  6. Step 6: Final answer
    x = 38,254.17

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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.