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Finding the Fourth Proportional to 30,550.26, 45,825.36 and 8,363.82

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Solution

The fourth proportional to 30,550.26, 45,825.36 and 8,363.82 is: 12,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,550.26 : 45,825.36 = 8,363.82 : x
  2. Step 2: Convert to fraction form
    30,550.26/45,825.36 = 8,363.82/x
  3. Step 3: Cross multiply
    30,550.26x = 45,825.36 × 8,363.82
  4. Step 4: Simplify right side
    30,550.26x = 383,275,062.48
  5. Step 5: Solve for x
    x = 383,275,062.48/30,550.26
  6. Step 6: Final answer
    x = 12,545.72

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