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Finding the Fourth Proportional to 37,536.44, 51,819.04 and 21,617.81

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Solution

The fourth proportional to 37,536.44, 51,819.04 and 21,617.81 is: 29,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,536.44 : 51,819.04 = 21,617.81 : x
  2. Step 2: Convert to fraction form
    37,536.44/51,819.04 = 21,617.81/x
  3. Step 3: Cross multiply
    37,536.44x = 51,819.04 × 21,617.81
  4. Step 4: Simplify right side
    37,536.44x = 1,120,214,053.01
  5. Step 5: Solve for x
    x = 1,120,214,053.01/37,536.44
  6. Step 6: Final answer
    x = 29,843.38

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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.