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Finding the Fourth Proportional to 41,770.38, 57,644.46 and 22,907.46

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Solution

The fourth proportional to 41,770.38, 57,644.46 and 22,907.46 is: 31,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,770.38 : 57,644.46 = 22,907.46 : x
  2. Step 2: Convert to fraction form
    41,770.38/57,644.46 = 22,907.46/x
  3. Step 3: Cross multiply
    41,770.38x = 57,644.46 × 22,907.46
  4. Step 4: Simplify right side
    41,770.38x = 1,320,488,161.67
  5. Step 5: Solve for x
    x = 1,320,488,161.67/41,770.38
  6. Step 6: Final answer
    x = 31,613.03

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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.