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Finding the Fourth Proportional to 38,940.42, 53,738.82 and 23,832.78

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Solution

The fourth proportional to 38,940.42, 53,738.82 and 23,832.78 is: 32,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,940.42 : 53,738.82 = 23,832.78 : x
  2. Step 2: Convert to fraction form
    38,940.42/53,738.82 = 23,832.78/x
  3. Step 3: Cross multiply
    38,940.42x = 53,738.82 × 23,832.78
  4. Step 4: Simplify right side
    38,940.42x = 1,280,745,474.52
  5. Step 5: Solve for x
    x = 1,280,745,474.52/38,940.42
  6. Step 6: Final answer
    x = 32,889.87

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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.