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Finding the Fourth Proportional to 41,908.38, 57,833.05 and 31,201.08

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Solution

The fourth proportional to 41,908.38, 57,833.05 and 31,201.08 is: 43,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,908.38 : 57,833.05 = 31,201.08 : x
  2. Step 2: Convert to fraction form
    41,908.38/57,833.05 = 31,201.08/x
  3. Step 3: Cross multiply
    41,908.38x = 57,833.05 × 31,201.08
  4. Step 4: Simplify right side
    41,908.38x = 1,804,453,619.69
  5. Step 5: Solve for x
    x = 1,804,453,619.69/41,908.38
  6. Step 6: Final answer
    x = 43,057.11

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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.