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Finding the Fourth Proportional to 50,649.72, 69,900.83 and 27,993.14

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Solution

The fourth proportional to 50,649.72, 69,900.83 and 27,993.14 is: 38,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,649.72 : 69,900.83 = 27,993.14 : x
  2. Step 2: Convert to fraction form
    50,649.72/69,900.83 = 27,993.14/x
  3. Step 3: Cross multiply
    50,649.72x = 69,900.83 × 27,993.14
  4. Step 4: Simplify right side
    50,649.72x = 1,956,743,475.57
  5. Step 5: Solve for x
    x = 1,956,743,475.57/50,649.72
  6. Step 6: Final answer
    x = 38,632.86

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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.