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Finding the Fourth Proportional to 31,915.60, 44,042.34 and 17,768.14

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Solution

The fourth proportional to 31,915.60, 44,042.34 and 17,768.14 is: 24,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.60 : 44,042.34 = 17,768.14 : x
  2. Step 2: Convert to fraction form
    31,915.60/44,042.34 = 17,768.14/x
  3. Step 3: Cross multiply
    31,915.60x = 44,042.34 × 17,768.14
  4. Step 4: Simplify right side
    31,915.60x = 782,550,463.05
  5. Step 5: Solve for x
    x = 782,550,463.05/31,915.60
  6. Step 6: Final answer
    x = 24,519.37

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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.