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Finding the Fourth Proportional to 50,711.64, 69,982.52 and 28,049.44

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Solution

The fourth proportional to 50,711.64, 69,982.52 and 28,049.44 is: 38,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,711.64 : 69,982.52 = 28,049.44 : x
  2. Step 2: Convert to fraction form
    50,711.64/69,982.52 = 28,049.44/x
  3. Step 3: Cross multiply
    50,711.64x = 69,982.52 × 28,049.44
  4. Step 4: Simplify right side
    50,711.64x = 1,962,970,495.79
  5. Step 5: Solve for x
    x = 1,962,970,495.79/50,711.64
  6. Step 6: Final answer
    x = 38,708.48

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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.