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Finding the Fourth Proportional to 31,538.97, 47,309.67 and 8,165.48

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Solution

The fourth proportional to 31,538.97, 47,309.67 and 8,165.48 is: 12,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.97 : 47,309.67 = 8,165.48 : x
  2. Step 2: Convert to fraction form
    31,538.97/47,309.67 = 8,165.48/x
  3. Step 3: Cross multiply
    31,538.97x = 47,309.67 × 8,165.48
  4. Step 4: Simplify right side
    31,538.97x = 386,305,927.64
  5. Step 5: Solve for x
    x = 386,305,927.64/31,538.97
  6. Step 6: Final answer
    x = 12,248.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.