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Finding the Fourth Proportional to 37,638.50, 51,942.21 and 20,872.58

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Solution

The fourth proportional to 37,638.50, 51,942.21 and 20,872.58 is: 28,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638.50 : 51,942.21 = 20,872.58 : x
  2. Step 2: Convert to fraction form
    37,638.50/51,942.21 = 20,872.58/x
  3. Step 3: Cross multiply
    37,638.50x = 51,942.21 × 20,872.58
  4. Step 4: Simplify right side
    37,638.50x = 1,084,167,933.60
  5. Step 5: Solve for x
    x = 1,084,167,933.60/37,638.50
  6. Step 6: Final answer
    x = 28,804.76

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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.