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Finding the Fourth Proportional to 90,183.89, 135,294.28 and 31,011.87

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Solution

The fourth proportional to 90,183.89, 135,294.28 and 31,011.87 is: 46,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,183.89 : 135,294.28 = 31,011.87 : x
  2. Step 2: Convert to fraction form
    90,183.89/135,294.28 = 31,011.87/x
  3. Step 3: Cross multiply
    90,183.89x = 135,294.28 × 31,011.87
  4. Step 4: Simplify right side
    90,183.89x = 4,195,728,545.57
  5. Step 5: Solve for x
    x = 4,195,728,545.57/90,183.89
  6. Step 6: Final answer
    x = 46,524.15

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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.