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Finding the Fourth Proportional to 31,183.32, 46,763.97 and 8,990.71

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Solution

The fourth proportional to 31,183.32, 46,763.97 and 8,990.71 is: 13,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.32 : 46,763.97 = 8,990.71 : x
  2. Step 2: Convert to fraction form
    31,183.32/46,763.97 = 8,990.71/x
  3. Step 3: Cross multiply
    31,183.32x = 46,763.97 × 8,990.71
  4. Step 4: Simplify right side
    31,183.32x = 420,441,292.72
  5. Step 5: Solve for x
    x = 420,441,292.72/31,183.32
  6. Step 6: Final answer
    x = 13,482.89

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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.