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Finding the Fourth Proportional to 41,767.84, 57,640.44 and 22,906

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Solution

The fourth proportional to 41,767.84, 57,640.44 and 22,906 is: 31,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,767.84 : 57,640.44 = 22,906 : x
  2. Step 2: Convert to fraction form
    41,767.84/57,640.44 = 22,906/x
  3. Step 3: Cross multiply
    41,767.84x = 57,640.44 × 22,906
  4. Step 4: Simplify right side
    41,767.84x = 1,320,311,918.64
  5. Step 5: Solve for x
    x = 1,320,311,918.64/41,767.84
  6. Step 6: Final answer
    x = 31,610.73

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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.