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Finding the Fourth Proportional to 27,136.80, 40,705.20 and 24,415.20

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Solution

The fourth proportional to 27,136.80, 40,705.20 and 24,415.20 is: 36,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.80 : 40,705.20 = 24,415.20 : x
  2. Step 2: Convert to fraction form
    27,136.80/40,705.20 = 24,415.20/x
  3. Step 3: Cross multiply
    27,136.80x = 40,705.20 × 24,415.20
  4. Step 4: Simplify right side
    27,136.80x = 993,825,599.04
  5. Step 5: Solve for x
    x = 993,825,599.04/27,136.80
  6. Step 6: Final answer
    x = 36,622.80

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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.