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Finding the Fourth Proportional to 31,086.64, 46,616.24 and 8,894.96

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Solution

The fourth proportional to 31,086.64, 46,616.24 and 8,894.96 is: 13,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.64 : 46,616.24 = 8,894.96 : x
  2. Step 2: Convert to fraction form
    31,086.64/46,616.24 = 8,894.96/x
  3. Step 3: Cross multiply
    31,086.64x = 46,616.24 × 8,894.96
  4. Step 4: Simplify right side
    31,086.64x = 414,649,545.68
  5. Step 5: Solve for x
    x = 414,649,545.68/31,086.64
  6. Step 6: Final answer
    x = 13,338.51

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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.