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Finding the Fourth Proportional to 31,913.64, 44,040.24 and 17,766.24

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Solution

The fourth proportional to 31,913.64, 44,040.24 and 17,766.24 is: 24,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913.64 : 44,040.24 = 17,766.24 : x
  2. Step 2: Convert to fraction form
    31,913.64/44,040.24 = 17,766.24/x
  3. Step 3: Cross multiply
    31,913.64x = 44,040.24 × 17,766.24
  4. Step 4: Simplify right side
    31,913.64x = 782,429,473.50
  5. Step 5: Solve for x
    x = 782,429,473.50/31,913.64
  6. Step 6: Final answer
    x = 24,517.09

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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.