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Finding the Fourth Proportional to 50,885.92, 70,221.23 and 28,224.86

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Solution

The fourth proportional to 50,885.92, 70,221.23 and 28,224.86 is: 38,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,885.92 : 70,221.23 = 28,224.86 : x
  2. Step 2: Convert to fraction form
    50,885.92/70,221.23 = 28,224.86/x
  3. Step 3: Cross multiply
    50,885.92x = 70,221.23 × 28,224.86
  4. Step 4: Simplify right side
    50,885.92x = 1,981,983,999.39
  5. Step 5: Solve for x
    x = 1,981,983,999.39/50,885.92
  6. Step 6: Final answer
    x = 38,949.56

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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.