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Finding the Fourth Proportional to 32,136.21, 48,218.09 and 12,428.62

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Solution

The fourth proportional to 32,136.21, 48,218.09 and 12,428.62 is: 18,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.21 : 48,218.09 = 12,428.62 : x
  2. Step 2: Convert to fraction form
    32,136.21/48,218.09 = 12,428.62/x
  3. Step 3: Cross multiply
    32,136.21x = 48,218.09 × 12,428.62
  4. Step 4: Simplify right side
    32,136.21x = 599,284,135.05
  5. Step 5: Solve for x
    x = 599,284,135.05/32,136.21
  6. Step 6: Final answer
    x = 18,648.25

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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.