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Finding the Fourth Proportional to 32,950.86, 49,425.82 and 7,991.12

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Solution

The fourth proportional to 32,950.86, 49,425.82 and 7,991.12 is: 11,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.86 : 49,425.82 = 7,991.12 : x
  2. Step 2: Convert to fraction form
    32,950.86/49,425.82 = 7,991.12/x
  3. Step 3: Cross multiply
    32,950.86x = 49,425.82 × 7,991.12
  4. Step 4: Simplify right side
    32,950.86x = 394,967,371.63
  5. Step 5: Solve for x
    x = 394,967,371.63/32,950.86
  6. Step 6: Final answer
    x = 11,986.56

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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.