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Finding the Fourth Proportional to 41,649, 57,475.71 and 22,786.26

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Solution

The fourth proportional to 41,649, 57,475.71 and 22,786.26 is: 31,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,649 : 57,475.71 = 22,786.26 : x
  2. Step 2: Convert to fraction form
    41,649/57,475.71 = 22,786.26/x
  3. Step 3: Cross multiply
    41,649x = 57,475.71 × 22,786.26
  4. Step 4: Simplify right side
    41,649x = 1,309,656,471.74
  5. Step 5: Solve for x
    x = 1,309,656,471.74/41,649
  6. Step 6: Final answer
    x = 31,445.09

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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.