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Finding the Fourth Proportional to 31,382.09, 47,073.11 and 8,008.53

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Solution

The fourth proportional to 31,382.09, 47,073.11 and 8,008.53 is: 12,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.09 : 47,073.11 = 8,008.53 : x
  2. Step 2: Convert to fraction form
    31,382.09/47,073.11 = 8,008.53/x
  3. Step 3: Cross multiply
    31,382.09x = 47,073.11 × 8,008.53
  4. Step 4: Simplify right side
    31,382.09x = 376,986,138.22
  5. Step 5: Solve for x
    x = 376,986,138.22/31,382.09
  6. Step 6: Final answer
    x = 12,012.78

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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.