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Finding the Fourth Proportional to 41,409, 57,144.84 and 22,546.20

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Solution

The fourth proportional to 41,409, 57,144.84 and 22,546.20 is: 31,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,409 : 57,144.84 = 22,546.20 : x
  2. Step 2: Convert to fraction form
    41,409/57,144.84 = 22,546.20/x
  3. Step 3: Cross multiply
    41,409x = 57,144.84 × 22,546.20
  4. Step 4: Simplify right side
    41,409x = 1,288,398,991.61
  5. Step 5: Solve for x
    x = 1,288,398,991.61/41,409
  6. Step 6: Final answer
    x = 31,113.98

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Double scale
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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.