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Finding the Fourth Proportional to 50,998.57, 76,471.45 and 22,894.43

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Solution

The fourth proportional to 50,998.57, 76,471.45 and 22,894.43 is: 34,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,998.57 : 76,471.45 = 22,894.43 : x
  2. Step 2: Convert to fraction form
    50,998.57/76,471.45 = 22,894.43/x
  3. Step 3: Cross multiply
    50,998.57x = 76,471.45 × 22,894.43
  4. Step 4: Simplify right side
    50,998.57x = 1,750,769,819.43
  5. Step 5: Solve for x
    x = 1,750,769,819.43/50,998.57
  6. Step 6: Final answer
    x = 34,329.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.