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Finding the Fourth Proportional to 49,144.68, 67,817.10 and 27,921

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Solution

The fourth proportional to 49,144.68, 67,817.10 and 27,921 is: 38,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144.68 : 67,817.10 = 27,921 : x
  2. Step 2: Convert to fraction form
    49,144.68/67,817.10 = 27,921/x
  3. Step 3: Cross multiply
    49,144.68x = 67,817.10 × 27,921
  4. Step 4: Simplify right side
    49,144.68x = 1,893,521,249.10
  5. Step 5: Solve for x
    x = 1,893,521,249.10/49,144.68
  6. Step 6: Final answer
    x = 38,529.53

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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.