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Finding the Fourth Proportional to 41,882, 57,797.25 and 23,019.26

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Solution

The fourth proportional to 41,882, 57,797.25 and 23,019.26 is: 31,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882 : 57,797.25 = 23,019.26 : x
  2. Step 2: Convert to fraction form
    41,882/57,797.25 = 23,019.26/x
  3. Step 3: Cross multiply
    41,882x = 57,797.25 × 23,019.26
  4. Step 4: Simplify right side
    41,882x = 1,330,449,925.04
  5. Step 5: Solve for x
    x = 1,330,449,925.04/41,882
  6. Step 6: Final answer
    x = 31,766.63

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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.