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Finding the Fourth Proportional to 41,338.16, 57,046.38 and 22,475.29

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Solution

The fourth proportional to 41,338.16, 57,046.38 and 22,475.29 is: 31,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,338.16 : 57,046.38 = 22,475.29 : x
  2. Step 2: Convert to fraction form
    41,338.16/57,046.38 = 22,475.29/x
  3. Step 3: Cross multiply
    41,338.16x = 57,046.38 × 22,475.29
  4. Step 4: Simplify right side
    41,338.16x = 1,282,133,648.72
  5. Step 5: Solve for x
    x = 1,282,133,648.72/41,338.16
  6. Step 6: Final answer
    x = 31,015.74

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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.