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Finding the Fourth Proportional to 32,183.89, 48,274.52 and 13,459.12

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Solution

The fourth proportional to 32,183.89, 48,274.52 and 13,459.12 is: 20,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183.89 : 48,274.52 = 13,459.12 : x
  2. Step 2: Convert to fraction form
    32,183.89/48,274.52 = 13,459.12/x
  3. Step 3: Cross multiply
    32,183.89x = 48,274.52 × 13,459.12
  4. Step 4: Simplify right side
    32,183.89x = 649,732,369.64
  5. Step 5: Solve for x
    x = 649,732,369.64/32,183.89
  6. Step 6: Final answer
    x = 20,188.13

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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.