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Finding the Fourth Proportional to 50,524, 69,724.56 and 28,169.44

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Solution

The fourth proportional to 50,524, 69,724.56 and 28,169.44 is: 38,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,524 : 69,724.56 = 28,169.44 : x
  2. Step 2: Convert to fraction form
    50,524/69,724.56 = 28,169.44/x
  3. Step 3: Cross multiply
    50,524x = 69,724.56 × 28,169.44
  4. Step 4: Simplify right side
    50,524x = 1,964,101,809.45
  5. Step 5: Solve for x
    x = 1,964,101,809.45/50,524
  6. Step 6: Final answer
    x = 38,874.63

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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.