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Finding the Fourth Proportional to 31,511.84, 43,489.40 and 23,540.22

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Solution

The fourth proportional to 31,511.84, 43,489.40 and 23,540.22 is: 32,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.84 : 43,489.40 = 23,540.22 : x
  2. Step 2: Convert to fraction form
    31,511.84/43,489.40 = 23,540.22/x
  3. Step 3: Cross multiply
    31,511.84x = 43,489.40 × 23,540.22
  4. Step 4: Simplify right side
    31,511.84x = 1,023,749,925.97
  5. Step 5: Solve for x
    x = 1,023,749,925.97/31,511.84
  6. Step 6: Final answer
    x = 32,487.79

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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.