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Finding the Fourth Proportional to 37,284.38, 51,451.41 and 20,288.23

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Solution

The fourth proportional to 37,284.38, 51,451.41 and 20,288.23 is: 27,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,284.38 : 51,451.41 = 20,288.23 : x
  2. Step 2: Convert to fraction form
    37,284.38/51,451.41 = 20,288.23/x
  3. Step 3: Cross multiply
    37,284.38x = 51,451.41 × 20,288.23
  4. Step 4: Simplify right side
    37,284.38x = 1,043,857,873.24
  5. Step 5: Solve for x
    x = 1,043,857,873.24/37,284.38
  6. Step 6: Final answer
    x = 27,997.19

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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.