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Finding the Fourth Proportional to 85,403.75, 128,183.36 and 45,456.27

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Solution

The fourth proportional to 85,403.75, 128,183.36 and 45,456.27 is: 68,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,403.75 : 128,183.36 = 45,456.27 : x
  2. Step 2: Convert to fraction form
    85,403.75/128,183.36 = 45,456.27/x
  3. Step 3: Cross multiply
    85,403.75x = 128,183.36 × 45,456.27
  4. Step 4: Simplify right side
    85,403.75x = 5,826,737,124.50
  5. Step 5: Solve for x
    x = 5,826,737,124.50/85,403.75
  6. Step 6: Final answer
    x = 68,225.78

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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.