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Finding the Fourth Proportional to 32,136.40, 48,191.28 and 12,142.44

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Solution

The fourth proportional to 32,136.40, 48,191.28 and 12,142.44 is: 18,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.40 : 48,191.28 = 12,142.44 : x
  2. Step 2: Convert to fraction form
    32,136.40/48,191.28 = 12,142.44/x
  3. Step 3: Cross multiply
    32,136.40x = 48,191.28 × 12,142.44
  4. Step 4: Simplify right side
    32,136.40x = 585,159,725.92
  5. Step 5: Solve for x
    x = 585,159,725.92/32,136.40
  6. Step 6: Final answer
    x = 18,208.63

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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.