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Finding the Fourth Proportional to 32,991.14, 49,481.44 and 9,612.12

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Solution

The fourth proportional to 32,991.14, 49,481.44 and 9,612.12 is: 14,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.14 : 49,481.44 = 9,612.12 : x
  2. Step 2: Convert to fraction form
    32,991.14/49,481.44 = 9,612.12/x
  3. Step 3: Cross multiply
    32,991.14x = 49,481.44 × 9,612.12
  4. Step 4: Simplify right side
    32,991.14x = 475,621,539.05
  5. Step 5: Solve for x
    x = 475,621,539.05/32,991.14
  6. Step 6: Final answer
    x = 14,416.64

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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.