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Finding the Fourth Proportional to 32,183.92, 48,291.24 and 11,417.20

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Solution

The fourth proportional to 32,183.92, 48,291.24 and 11,417.20 is: 17,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183.92 : 48,291.24 = 11,417.20 : x
  2. Step 2: Convert to fraction form
    32,183.92/48,291.24 = 11,417.20/x
  3. Step 3: Cross multiply
    32,183.92x = 48,291.24 × 11,417.20
  4. Step 4: Simplify right side
    32,183.92x = 551,350,745.33
  5. Step 5: Solve for x
    x = 551,350,745.33/32,183.92
  6. Step 6: Final answer
    x = 17,131.25

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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.