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Finding the Fourth Proportional to 37,458.43, 51,692.71 and 20,462.80

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Solution

The fourth proportional to 37,458.43, 51,692.71 and 20,462.80 is: 28,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,458.43 : 51,692.71 = 20,462.80 : x
  2. Step 2: Convert to fraction form
    37,458.43/51,692.71 = 20,462.80/x
  3. Step 3: Cross multiply
    37,458.43x = 51,692.71 × 20,462.80
  4. Step 4: Simplify right side
    37,458.43x = 1,057,777,586.19
  5. Step 5: Solve for x
    x = 1,057,777,586.19/37,458.43
  6. Step 6: Final answer
    x = 28,238.71

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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.