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Finding the Fourth Proportional to 41,539.56, 57,323.70 and 22,677

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Solution

The fourth proportional to 41,539.56, 57,323.70 and 22,677 is: 31,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,539.56 : 57,323.70 = 22,677 : x
  2. Step 2: Convert to fraction form
    41,539.56/57,323.70 = 22,677/x
  3. Step 3: Cross multiply
    41,539.56x = 57,323.70 × 22,677
  4. Step 4: Simplify right side
    41,539.56x = 1,299,929,544.90
  5. Step 5: Solve for x
    x = 1,299,929,544.90/41,539.56
  6. Step 6: Final answer
    x = 31,293.77

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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.