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Finding the Fourth Proportional to 31,380.87, 47,071.28 and 8,007.31

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Solution

The fourth proportional to 31,380.87, 47,071.28 and 8,007.31 is: 12,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380.87 : 47,071.28 = 8,007.31 : x
  2. Step 2: Convert to fraction form
    31,380.87/47,071.28 = 8,007.31/x
  3. Step 3: Cross multiply
    31,380.87x = 47,071.28 × 8,007.31
  4. Step 4: Simplify right side
    31,380.87x = 376,914,100.10
  5. Step 5: Solve for x
    x = 376,914,100.10/31,380.87
  6. Step 6: Final answer
    x = 12,010.95

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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.