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Finding the Fourth Proportional to 40,311.72, 55,610.82 and 34,713

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Solution

The fourth proportional to 40,311.72, 55,610.82 and 34,713 is: 47,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,311.72 : 55,610.82 = 34,713 : x
  2. Step 2: Convert to fraction form
    40,311.72/55,610.82 = 34,713/x
  3. Step 3: Cross multiply
    40,311.72x = 55,610.82 × 34,713
  4. Step 4: Simplify right side
    40,311.72x = 1,930,418,394.66
  5. Step 5: Solve for x
    x = 1,930,418,394.66/40,311.72
  6. Step 6: Final answer
    x = 47,887.27

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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.