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Finding the Fourth Proportional to 50,496.72, 69,685.97 and 27,836.57

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Solution

The fourth proportional to 50,496.72, 69,685.97 and 27,836.57 is: 38,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,496.72 : 69,685.97 = 27,836.57 : x
  2. Step 2: Convert to fraction form
    50,496.72/69,685.97 = 27,836.57/x
  3. Step 3: Cross multiply
    50,496.72x = 69,685.97 × 27,836.57
  4. Step 4: Simplify right side
    50,496.72x = 1,939,817,894.31
  5. Step 5: Solve for x
    x = 1,939,817,894.31/50,496.72
  6. Step 6: Final answer
    x = 38,414.73

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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.