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Finding the Fourth Proportional to 41,503, 57,274.14 and 22,640.20

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Solution

The fourth proportional to 41,503, 57,274.14 and 22,640.20 is: 31,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,503 : 57,274.14 = 22,640.20 : x
  2. Step 2: Convert to fraction form
    41,503/57,274.14 = 22,640.20/x
  3. Step 3: Cross multiply
    41,503x = 57,274.14 × 22,640.20
  4. Step 4: Simplify right side
    41,503x = 1,296,697,984.43
  5. Step 5: Solve for x
    x = 1,296,697,984.43/41,503
  6. Step 6: Final answer
    x = 31,243.48

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1.5x scale

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.