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Finding the Fourth Proportional to 31,731.30, 47,593.35 and 8,359.56

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Solution

The fourth proportional to 31,731.30, 47,593.35 and 8,359.56 is: 12,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.30 : 47,593.35 = 8,359.56 : x
  2. Step 2: Convert to fraction form
    31,731.30/47,593.35 = 8,359.56/x
  3. Step 3: Cross multiply
    31,731.30x = 47,593.35 × 8,359.56
  4. Step 4: Simplify right side
    31,731.30x = 397,859,464.93
  5. Step 5: Solve for x
    x = 397,859,464.93/31,731.30
  6. Step 6: Final answer
    x = 12,538.39

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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.