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Finding the Fourth Proportional to 31,343.50, 43,255.14 and 17,196.76

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Solution

The fourth proportional to 31,343.50, 43,255.14 and 17,196.76 is: 23,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343.50 : 43,255.14 = 17,196.76 : x
  2. Step 2: Convert to fraction form
    31,343.50/43,255.14 = 17,196.76/x
  3. Step 3: Cross multiply
    31,343.50x = 43,255.14 × 17,196.76
  4. Step 4: Simplify right side
    31,343.50x = 743,848,261.35
  5. Step 5: Solve for x
    x = 743,848,261.35/31,343.50
  6. Step 6: Final answer
    x = 23,732.14

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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.