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Finding the Fourth Proportional to 41,741.65, 57,609.38 and 25,831.22

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Solution

The fourth proportional to 41,741.65, 57,609.38 and 25,831.22 is: 35,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,741.65 : 57,609.38 = 25,831.22 : x
  2. Step 2: Convert to fraction form
    41,741.65/57,609.38 = 25,831.22/x
  3. Step 3: Cross multiply
    41,741.65x = 57,609.38 × 25,831.22
  4. Step 4: Simplify right side
    41,741.65x = 1,488,120,439.69
  5. Step 5: Solve for x
    x = 1,488,120,439.69/41,741.65
  6. Step 6: Final answer
    x = 35,650.74

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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.