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Finding the Fourth Proportional to 31,813.52, 47,716.62 and 8,441.78

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Solution

The fourth proportional to 31,813.52, 47,716.62 and 8,441.78 is: 12,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.52 : 47,716.62 = 8,441.78 : x
  2. Step 2: Convert to fraction form
    31,813.52/47,716.62 = 8,441.78/x
  3. Step 3: Cross multiply
    31,813.52x = 47,716.62 × 8,441.78
  4. Step 4: Simplify right side
    31,813.52x = 402,813,208.38
  5. Step 5: Solve for x
    x = 402,813,208.38/31,813.52
  6. Step 6: Final answer
    x = 12,661.70

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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.