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Finding the Fourth Proportional to 37,028.28, 51,098.88 and 20,032.56

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Solution

The fourth proportional to 37,028.28, 51,098.88 and 20,032.56 is: 27,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,028.28 : 51,098.88 = 20,032.56 : x
  2. Step 2: Convert to fraction form
    37,028.28/51,098.88 = 20,032.56/x
  3. Step 3: Cross multiply
    37,028.28x = 51,098.88 × 20,032.56
  4. Step 4: Simplify right side
    37,028.28x = 1,023,641,379.53
  5. Step 5: Solve for x
    x = 1,023,641,379.53/37,028.28
  6. Step 6: Final answer
    x = 27,644.85

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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.