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Finding the Fourth Proportional to 32,171.96, 48,256.68 and 13,447.16

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Solution

The fourth proportional to 32,171.96, 48,256.68 and 13,447.16 is: 20,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.96 : 48,256.68 = 13,447.16 : x
  2. Step 2: Convert to fraction form
    32,171.96/48,256.68 = 13,447.16/x
  3. Step 3: Cross multiply
    32,171.96x = 48,256.68 × 13,447.16
  4. Step 4: Simplify right side
    32,171.96x = 648,915,297.03
  5. Step 5: Solve for x
    x = 648,915,297.03/32,171.96
  6. Step 6: Final answer
    x = 20,170.21

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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.