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Finding the Fourth Proportional to 50,622.50, 75,876.12 and 22,500.31

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Solution

The fourth proportional to 50,622.50, 75,876.12 and 22,500.31 is: 33,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,622.50 : 75,876.12 = 22,500.31 : x
  2. Step 2: Convert to fraction form
    50,622.50/75,876.12 = 22,500.31/x
  3. Step 3: Cross multiply
    50,622.50x = 75,876.12 × 22,500.31
  4. Step 4: Simplify right side
    50,622.50x = 1,707,236,221.60
  5. Step 5: Solve for x
    x = 1,707,236,221.60/50,622.50
  6. Step 6: Final answer
    x = 33,724.85

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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.