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Finding the Fourth Proportional to 50,121.72, 69,170.22 and 27,764.28

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Solution

The fourth proportional to 50,121.72, 69,170.22 and 27,764.28 is: 38,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,121.72 : 69,170.22 = 27,764.28 : x
  2. Step 2: Convert to fraction form
    50,121.72/69,170.22 = 27,764.28/x
  3. Step 3: Cross multiply
    50,121.72x = 69,170.22 × 27,764.28
  4. Step 4: Simplify right side
    50,121.72x = 1,920,461,355.74
  5. Step 5: Solve for x
    x = 1,920,461,355.74/50,121.72
  6. Step 6: Final answer
    x = 38,315.95

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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.