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Finding the Fourth Proportional to 31,847.33, 47,777.87 and 9,662.49

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Solution

The fourth proportional to 31,847.33, 47,777.87 and 9,662.49 is: 14,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.33 : 47,777.87 = 9,662.49 : x
  2. Step 2: Convert to fraction form
    31,847.33/47,777.87 = 9,662.49/x
  3. Step 3: Cross multiply
    31,847.33x = 47,777.87 × 9,662.49
  4. Step 4: Simplify right side
    31,847.33x = 461,653,142.78
  5. Step 5: Solve for x
    x = 461,653,142.78/31,847.33
  6. Step 6: Final answer
    x = 14,495.82

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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.