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Finding the Fourth Proportional to 31,915.38, 44,043.24 and 17,770.98

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Solution

The fourth proportional to 31,915.38, 44,043.24 and 17,770.98 is: 24,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.38 : 44,043.24 = 17,770.98 : x
  2. Step 2: Convert to fraction form
    31,915.38/44,043.24 = 17,770.98/x
  3. Step 3: Cross multiply
    31,915.38x = 44,043.24 × 17,770.98
  4. Step 4: Simplify right side
    31,915.38x = 782,691,537.18
  5. Step 5: Solve for x
    x = 782,691,537.18/31,915.38
  6. Step 6: Final answer
    x = 24,523.96

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Why These Related Problems?

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