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Finding the Fourth Proportional to 34,708.40, 47,906.32 and 31,165.44

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Solution

The fourth proportional to 34,708.40, 47,906.32 and 31,165.44 is: 43,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708.40 : 47,906.32 = 31,165.44 : x
  2. Step 2: Convert to fraction form
    34,708.40/47,906.32 = 31,165.44/x
  3. Step 3: Cross multiply
    34,708.40x = 47,906.32 × 31,165.44
  4. Step 4: Simplify right side
    34,708.40x = 1,493,021,541.58
  5. Step 5: Solve for x
    x = 1,493,021,541.58/34,708.40
  6. Step 6: Final answer
    x = 43,016.14

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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.