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Finding the Fourth Proportional to 50,078.50, 69,155.17 and 32,204.54

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Solution

The fourth proportional to 50,078.50, 69,155.17 and 32,204.54 is: 44,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,078.50 : 69,155.17 = 32,204.54 : x
  2. Step 2: Convert to fraction form
    50,078.50/69,155.17 = 32,204.54/x
  3. Step 3: Cross multiply
    50,078.50x = 69,155.17 × 32,204.54
  4. Step 4: Simplify right side
    50,078.50x = 2,227,110,141.85
  5. Step 5: Solve for x
    x = 2,227,110,141.85/50,078.50
  6. Step 6: Final answer
    x = 44,472.38

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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.