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Finding the Fourth Proportional to 50,584.22, 69,803.24 and 27,922.65

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Solution

The fourth proportional to 50,584.22, 69,803.24 and 27,922.65 is: 38,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,584.22 : 69,803.24 = 27,922.65 : x
  2. Step 2: Convert to fraction form
    50,584.22/69,803.24 = 27,922.65/x
  3. Step 3: Cross multiply
    50,584.22x = 69,803.24 × 27,922.65
  4. Step 4: Simplify right side
    50,584.22x = 1,949,091,299.77
  5. Step 5: Solve for x
    x = 1,949,091,299.77/50,584.22
  6. Step 6: Final answer
    x = 38,531.61

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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.