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Finding the Fourth Proportional to 41,489.88, 57,256.03 and 22,627

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Solution

The fourth proportional to 41,489.88, 57,256.03 and 22,627 is: 31,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,489.88 : 57,256.03 = 22,627 : x
  2. Step 2: Convert to fraction form
    41,489.88/57,256.03 = 22,627/x
  3. Step 3: Cross multiply
    41,489.88x = 57,256.03 × 22,627
  4. Step 4: Simplify right side
    41,489.88x = 1,295,532,190.81
  5. Step 5: Solve for x
    x = 1,295,532,190.81/41,489.88
  6. Step 6: Final answer
    x = 31,225.26

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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.