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Finding the Fourth Proportional to 37,669.50, 51,986.34 and 20,902.50

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Solution

The fourth proportional to 37,669.50, 51,986.34 and 20,902.50 is: 28,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,669.50 : 51,986.34 = 20,902.50 : x
  2. Step 2: Convert to fraction form
    37,669.50/51,986.34 = 20,902.50/x
  3. Step 3: Cross multiply
    37,669.50x = 51,986.34 × 20,902.50
  4. Step 4: Simplify right side
    37,669.50x = 1,086,644,471.85
  5. Step 5: Solve for x
    x = 1,086,644,471.85/37,669.50
  6. Step 6: Final answer
    x = 28,846.80

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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.