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Finding the Fourth Proportional to 41,835.78, 57,734.73 and 23,930.82

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Solution

The fourth proportional to 41,835.78, 57,734.73 and 23,930.82 is: 33,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,835.78 : 57,734.73 = 23,930.82 : x
  2. Step 2: Convert to fraction form
    41,835.78/57,734.73 = 23,930.82/x
  3. Step 3: Cross multiply
    41,835.78x = 57,734.73 × 23,930.82
  4. Step 4: Simplify right side
    41,835.78x = 1,381,639,431.38
  5. Step 5: Solve for x
    x = 1,381,639,431.38/41,835.78
  6. Step 6: Final answer
    x = 33,025.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.