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Finding the Fourth Proportional to 49,219.70, 67,922.57 and 27,998.91

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Solution

The fourth proportional to 49,219.70, 67,922.57 and 27,998.91 is: 38,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,219.70 : 67,922.57 = 27,998.91 : x
  2. Step 2: Convert to fraction form
    49,219.70/67,922.57 = 27,998.91/x
  3. Step 3: Cross multiply
    49,219.70x = 67,922.57 × 27,998.91
  4. Step 4: Simplify right side
    49,219.70x = 1,901,757,994.40
  5. Step 5: Solve for x
    x = 1,901,757,994.40/49,219.70
  6. Step 6: Final answer
    x = 38,638.15

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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.