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Finding the Fourth Proportional to 30,589.87, 45,879.33 and 8,100.70

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Solution

The fourth proportional to 30,589.87, 45,879.33 and 8,100.70 is: 12,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.87 : 45,879.33 = 8,100.70 : x
  2. Step 2: Convert to fraction form
    30,589.87/45,879.33 = 8,100.70/x
  3. Step 3: Cross multiply
    30,589.87x = 45,879.33 × 8,100.70
  4. Step 4: Simplify right side
    30,589.87x = 371,654,688.53
  5. Step 5: Solve for x
    x = 371,654,688.53/30,589.87
  6. Step 6: Final answer
    x = 12,149.60

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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.