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Finding the Fourth Proportional to 38,676.56, 57,889.32 and 20,882.48

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Solution

The fourth proportional to 38,676.56, 57,889.32 and 20,882.48 is: 31,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676.56 : 57,889.32 = 20,882.48 : x
  2. Step 2: Convert to fraction form
    38,676.56/57,889.32 = 20,882.48/x
  3. Step 3: Cross multiply
    38,676.56x = 57,889.32 × 20,882.48
  4. Step 4: Simplify right side
    38,676.56x = 1,208,872,567.11
  5. Step 5: Solve for x
    x = 1,208,872,567.11/38,676.56
  6. Step 6: Final answer
    x = 31,255.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.