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Finding the Fourth Proportional to 40,638, 56,078.88 and 22,734.66

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Solution

The fourth proportional to 40,638, 56,078.88 and 22,734.66 is: 31,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,638 : 56,078.88 = 22,734.66 : x
  2. Step 2: Convert to fraction form
    40,638/56,078.88 = 22,734.66/x
  3. Step 3: Cross multiply
    40,638x = 56,078.88 × 22,734.66
  4. Step 4: Simplify right side
    40,638x = 1,274,934,269.98
  5. Step 5: Solve for x
    x = 1,274,934,269.98/40,638
  6. Step 6: Final answer
    x = 31,372.96

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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.