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Finding the Fourth Proportional to 31,651.84, 43,685.60 and 18,232

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Solution

The fourth proportional to 31,651.84, 43,685.60 and 18,232 is: 25,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.84 : 43,685.60 = 18,232 : x
  2. Step 2: Convert to fraction form
    31,651.84/43,685.60 = 18,232/x
  3. Step 3: Cross multiply
    31,651.84x = 43,685.60 × 18,232
  4. Step 4: Simplify right side
    31,651.84x = 796,475,859.20
  5. Step 5: Solve for x
    x = 796,475,859.20/31,651.84
  6. Step 6: Final answer
    x = 25,163.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.