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Finding the Fourth Proportional to 82,136.57, 123,204.50 and 32,181.39

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Solution

The fourth proportional to 82,136.57, 123,204.50 and 32,181.39 is: 48,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136.57 : 123,204.50 = 32,181.39 : x
  2. Step 2: Convert to fraction form
    82,136.57/123,204.50 = 32,181.39/x
  3. Step 3: Cross multiply
    82,136.57x = 123,204.50 × 32,181.39
  4. Step 4: Simplify right side
    82,136.57x = 3,964,891,903.35
  5. Step 5: Solve for x
    x = 3,964,891,903.35/82,136.57
  6. Step 6: Final answer
    x = 48,271.94

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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.