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Finding the Fourth Proportional to 41,853.30, 57,731.97 and 24,846

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Solution

The fourth proportional to 41,853.30, 57,731.97 and 24,846 is: 34,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,853.30 : 57,731.97 = 24,846 : x
  2. Step 2: Convert to fraction form
    41,853.30/57,731.97 = 24,846/x
  3. Step 3: Cross multiply
    41,853.30x = 57,731.97 × 24,846
  4. Step 4: Simplify right side
    41,853.30x = 1,434,408,526.62
  5. Step 5: Solve for x
    x = 1,434,408,526.62/41,853.30
  6. Step 6: Final answer
    x = 34,272.29

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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.