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Finding the Fourth Proportional to 38,520.30, 57,676.14 and 20,013.42

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Solution

The fourth proportional to 38,520.30, 57,676.14 and 20,013.42 is: 29,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,520.30 : 57,676.14 = 20,013.42 : x
  2. Step 2: Convert to fraction form
    38,520.30/57,676.14 = 20,013.42/x
  3. Step 3: Cross multiply
    38,520.30x = 57,676.14 × 20,013.42
  4. Step 4: Simplify right side
    38,520.30x = 1,154,296,813.80
  5. Step 5: Solve for x
    x = 1,154,296,813.80/38,520.30
  6. Step 6: Final answer
    x = 29,965.94

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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.