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Finding the Fourth Proportional to 38,576.26, 53,234.76 and 22,662.16

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Solution

The fourth proportional to 38,576.26, 53,234.76 and 22,662.16 is: 31,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576.26 : 53,234.76 = 22,662.16 : x
  2. Step 2: Convert to fraction form
    38,576.26/53,234.76 = 22,662.16/x
  3. Step 3: Cross multiply
    38,576.26x = 53,234.76 × 22,662.16
  4. Step 4: Simplify right side
    38,576.26x = 1,206,414,648.68
  5. Step 5: Solve for x
    x = 1,206,414,648.68/38,576.26
  6. Step 6: Final answer
    x = 31,273.50

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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.