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Finding the Fourth Proportional to 32,194.32, 48,297.96 and 11,419.44

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Solution

The fourth proportional to 32,194.32, 48,297.96 and 11,419.44 is: 17,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.32 : 48,297.96 = 11,419.44 : x
  2. Step 2: Convert to fraction form
    32,194.32/48,297.96 = 11,419.44/x
  3. Step 3: Cross multiply
    32,194.32x = 48,297.96 × 11,419.44
  4. Step 4: Simplify right side
    32,194.32x = 551,535,656.34
  5. Step 5: Solve for x
    x = 551,535,656.34/32,194.32
  6. Step 6: Final answer
    x = 17,131.46

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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.