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Finding the Fourth Proportional to 31,951.29, 44,093.10 and 17,611.63

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Solution

The fourth proportional to 31,951.29, 44,093.10 and 17,611.63 is: 24,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.29 : 44,093.10 = 17,611.63 : x
  2. Step 2: Convert to fraction form
    31,951.29/44,093.10 = 17,611.63/x
  3. Step 3: Cross multiply
    31,951.29x = 44,093.10 × 17,611.63
  4. Step 4: Simplify right side
    31,951.29x = 776,551,566.59
  5. Step 5: Solve for x
    x = 776,551,566.59/31,951.29
  6. Step 6: Final answer
    x = 24,304.23

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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.