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Finding the Fourth Proportional to 50,568, 69,783.84 and 28,212

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Solution

The fourth proportional to 50,568, 69,783.84 and 28,212 is: 38,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,568 : 69,783.84 = 28,212 : x
  2. Step 2: Convert to fraction form
    50,568/69,783.84 = 28,212/x
  3. Step 3: Cross multiply
    50,568x = 69,783.84 × 28,212
  4. Step 4: Simplify right side
    50,568x = 1,968,741,694.08
  5. Step 5: Solve for x
    x = 1,968,741,694.08/50,568
  6. Step 6: Final answer
    x = 38,932.56

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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.