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Finding the Fourth Proportional to 32,003.20, 48,019.20 and 11,241.60

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Solution

The fourth proportional to 32,003.20, 48,019.20 and 11,241.60 is: 16,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.20 : 48,019.20 = 11,241.60 : x
  2. Step 2: Convert to fraction form
    32,003.20/48,019.20 = 11,241.60/x
  3. Step 3: Cross multiply
    32,003.20x = 48,019.20 × 11,241.60
  4. Step 4: Simplify right side
    32,003.20x = 539,812,638.72
  5. Step 5: Solve for x
    x = 539,812,638.72/32,003.20
  6. Step 6: Final answer
    x = 16,867.46

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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.