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Finding the Fourth Proportional to 41,696.56, 57,540.84 and 22,576

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Solution

The fourth proportional to 41,696.56, 57,540.84 and 22,576 is: 31,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,696.56 : 57,540.84 = 22,576 : x
  2. Step 2: Convert to fraction form
    41,696.56/57,540.84 = 22,576/x
  3. Step 3: Cross multiply
    41,696.56x = 57,540.84 × 22,576
  4. Step 4: Simplify right side
    41,696.56x = 1,299,042,003.84
  5. Step 5: Solve for x
    x = 1,299,042,003.84/41,696.56
  6. Step 6: Final answer
    x = 31,154.66

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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.