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Finding the Fourth Proportional to 50,493.39, 69,684.89 and 27,836.41

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Solution

The fourth proportional to 50,493.39, 69,684.89 and 27,836.41 is: 38,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.39 : 69,684.89 = 27,836.41 : x
  2. Step 2: Convert to fraction form
    50,493.39/69,684.89 = 27,836.41/x
  3. Step 3: Cross multiply
    50,493.39x = 69,684.89 × 27,836.41
  4. Step 4: Simplify right side
    50,493.39x = 1,939,777,238.44
  5. Step 5: Solve for x
    x = 1,939,777,238.44/50,493.39
  6. Step 6: Final answer
    x = 38,416.46

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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.