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Finding the Fourth Proportional to 37,182.27, 51,311.38 and 20,186.38

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Solution

The fourth proportional to 37,182.27, 51,311.38 and 20,186.38 is: 27,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182.27 : 51,311.38 = 20,186.38 : x
  2. Step 2: Convert to fraction form
    37,182.27/51,311.38 = 20,186.38/x
  3. Step 3: Cross multiply
    37,182.27x = 51,311.38 × 20,186.38
  4. Step 4: Simplify right side
    37,182.27x = 1,035,790,962.73
  5. Step 5: Solve for x
    x = 1,035,790,962.73/37,182.27
  6. Step 6: Final answer
    x = 27,857.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.