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Finding the Fourth Proportional to 41,601, 57,409.38 and 22,738.20

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Solution

The fourth proportional to 41,601, 57,409.38 and 22,738.20 is: 31,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,601 : 57,409.38 = 22,738.20 : x
  2. Step 2: Convert to fraction form
    41,601/57,409.38 = 22,738.20/x
  3. Step 3: Cross multiply
    41,601x = 57,409.38 × 22,738.20
  4. Step 4: Simplify right side
    41,601x = 1,305,385,964.32
  5. Step 5: Solve for x
    x = 1,305,385,964.32/41,601
  6. Step 6: Final answer
    x = 31,378.72

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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.