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Finding the Fourth Proportional to 41,863.68, 57,769.74 and 22,997.16

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Solution

The fourth proportional to 41,863.68, 57,769.74 and 22,997.16 is: 31,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,863.68 : 57,769.74 = 22,997.16 : x
  2. Step 2: Convert to fraction form
    41,863.68/57,769.74 = 22,997.16/x
  3. Step 3: Cross multiply
    41,863.68x = 57,769.74 × 22,997.16
  4. Step 4: Simplify right side
    41,863.68x = 1,328,539,953.94
  5. Step 5: Solve for x
    x = 1,328,539,953.94/41,863.68
  6. Step 6: Final answer
    x = 31,734.91

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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.