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Finding the Fourth Proportional to 49,149.44, 67,820.28 and 27,922.76

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Solution

The fourth proportional to 49,149.44, 67,820.28 and 27,922.76 is: 38,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,149.44 : 67,820.28 = 27,922.76 : x
  2. Step 2: Convert to fraction form
    49,149.44/67,820.28 = 27,922.76/x
  3. Step 3: Cross multiply
    49,149.44x = 67,820.28 × 27,922.76
  4. Step 4: Simplify right side
    49,149.44x = 1,893,729,401.57
  5. Step 5: Solve for x
    x = 1,893,729,401.57/49,149.44
  6. Step 6: Final answer
    x = 38,530.03

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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.