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Finding the Fourth Proportional to 55,136.80, 82,705.20 and 27,431.20

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Solution

The fourth proportional to 55,136.80, 82,705.20 and 27,431.20 is: 41,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,136.80 : 82,705.20 = 27,431.20 : x
  2. Step 2: Convert to fraction form
    55,136.80/82,705.20 = 27,431.20/x
  3. Step 3: Cross multiply
    55,136.80x = 82,705.20 × 27,431.20
  4. Step 4: Simplify right side
    55,136.80x = 2,268,702,882.24
  5. Step 5: Solve for x
    x = 2,268,702,882.24/55,136.80
  6. Step 6: Final answer
    x = 41,146.80

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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.