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Finding the Fourth Proportional to 37,633.62, 51,935.31 and 20,638.56

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Solution

The fourth proportional to 37,633.62, 51,935.31 and 20,638.56 is: 28,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,633.62 : 51,935.31 = 20,638.56 : x
  2. Step 2: Convert to fraction form
    37,633.62/51,935.31 = 20,638.56/x
  3. Step 3: Cross multiply
    37,633.62x = 51,935.31 × 20,638.56
  4. Step 4: Simplify right side
    37,633.62x = 1,071,870,011.55
  5. Step 5: Solve for x
    x = 1,071,870,011.55/37,633.62
  6. Step 6: Final answer
    x = 28,481.71

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