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Finding the Fourth Proportional to 31,198.50, 43,056.54 and 17,770.32

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Solution

The fourth proportional to 31,198.50, 43,056.54 and 17,770.32 is: 24,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.50 : 43,056.54 = 17,770.32 : x
  2. Step 2: Convert to fraction form
    31,198.50/43,056.54 = 17,770.32/x
  3. Step 3: Cross multiply
    31,198.50x = 43,056.54 × 17,770.32
  4. Step 4: Simplify right side
    31,198.50x = 765,128,493.89
  5. Step 5: Solve for x
    x = 765,128,493.89/31,198.50
  6. Step 6: Final answer
    x = 24,524.53

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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.