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Finding the Fourth Proportional to 37,641.72, 51,944.79 and 23,297.73

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Solution

The fourth proportional to 37,641.72, 51,944.79 and 23,297.73 is: 32,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641.72 : 51,944.79 = 23,297.73 : x
  2. Step 2: Convert to fraction form
    37,641.72/51,944.79 = 23,297.73/x
  3. Step 3: Cross multiply
    37,641.72x = 51,944.79 × 23,297.73
  4. Step 4: Simplify right side
    37,641.72x = 1,210,195,692.33
  5. Step 5: Solve for x
    x = 1,210,195,692.33/37,641.72
  6. Step 6: Final answer
    x = 32,150.38

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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.