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Finding the Fourth Proportional to 37,033.92, 51,109.92 and 20,268

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Solution

The fourth proportional to 37,033.92, 51,109.92 and 20,268 is: 27,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,033.92 : 51,109.92 = 20,268 : x
  2. Step 2: Convert to fraction form
    37,033.92/51,109.92 = 20,268/x
  3. Step 3: Cross multiply
    37,033.92x = 51,109.92 × 20,268
  4. Step 4: Simplify right side
    37,033.92x = 1,035,895,858.56
  5. Step 5: Solve for x
    x = 1,035,895,858.56/37,033.92
  6. Step 6: Final answer
    x = 27,971.54

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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.