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Finding the Fourth Proportional to 32,241.36, 48,380.84 and 13,519.96

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Solution

The fourth proportional to 32,241.36, 48,380.84 and 13,519.96 is: 20,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,241.36 : 48,380.84 = 13,519.96 : x
  2. Step 2: Convert to fraction form
    32,241.36/48,380.84 = 13,519.96/x
  3. Step 3: Cross multiply
    32,241.36x = 48,380.84 × 13,519.96
  4. Step 4: Simplify right side
    32,241.36x = 654,106,712.06
  5. Step 5: Solve for x
    x = 654,106,712.06/32,241.36
  6. Step 6: Final answer
    x = 20,287.81

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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.