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Finding the Fourth Proportional to 31,736.88, 47,605.50 and 9,550.44

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Solution

The fourth proportional to 31,736.88, 47,605.50 and 9,550.44 is: 14,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,736.88 : 47,605.50 = 9,550.44 : x
  2. Step 2: Convert to fraction form
    31,736.88/47,605.50 = 9,550.44/x
  3. Step 3: Cross multiply
    31,736.88x = 47,605.50 × 9,550.44
  4. Step 4: Simplify right side
    31,736.88x = 454,653,471.42
  5. Step 5: Solve for x
    x = 454,653,471.42/31,736.88
  6. Step 6: Final answer
    x = 14,325.71

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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.