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Finding the Fourth Proportional to 41,722.56, 57,576.72 and 22,859.68

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Solution

The fourth proportional to 41,722.56, 57,576.72 and 22,859.68 is: 31,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,722.56 : 57,576.72 = 22,859.68 : x
  2. Step 2: Convert to fraction form
    41,722.56/57,576.72 = 22,859.68/x
  3. Step 3: Cross multiply
    41,722.56x = 57,576.72 × 22,859.68
  4. Step 4: Simplify right side
    41,722.56x = 1,316,185,394.65
  5. Step 5: Solve for x
    x = 1,316,185,394.65/41,722.56
  6. Step 6: Final answer
    x = 31,546.13

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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.