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Finding the Fourth Proportional to 41,881.50, 57,770.52 and 27,543

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Solution

The fourth proportional to 41,881.50, 57,770.52 and 27,543 is: 37,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,881.50 : 57,770.52 = 27,543 : x
  2. Step 2: Convert to fraction form
    41,881.50/57,770.52 = 27,543/x
  3. Step 3: Cross multiply
    41,881.50x = 57,770.52 × 27,543
  4. Step 4: Simplify right side
    41,881.50x = 1,591,173,432.36
  5. Step 5: Solve for x
    x = 1,591,173,432.36/41,881.50
  6. Step 6: Final answer
    x = 37,992.27

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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.