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Finding the Fourth Proportional to 27,136.08, 40,704.12 and 7,414.20

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Solution

The fourth proportional to 27,136.08, 40,704.12 and 7,414.20 is: 11,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.08 : 40,704.12 = 7,414.20 : x
  2. Step 2: Convert to fraction form
    27,136.08/40,704.12 = 7,414.20/x
  3. Step 3: Cross multiply
    27,136.08x = 40,704.12 × 7,414.20
  4. Step 4: Simplify right side
    27,136.08x = 301,788,486.50
  5. Step 5: Solve for x
    x = 301,788,486.50/27,136.08
  6. Step 6: Final answer
    x = 11,121.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.