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Finding the Fourth Proportional to 41,906.26, 57,825.79 and 24,000.20

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Solution

The fourth proportional to 41,906.26, 57,825.79 and 24,000.20 is: 33,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,906.26 : 57,825.79 = 24,000.20 : x
  2. Step 2: Convert to fraction form
    41,906.26/57,825.79 = 24,000.20/x
  3. Step 3: Cross multiply
    41,906.26x = 57,825.79 × 24,000.20
  4. Step 4: Simplify right side
    41,906.26x = 1,387,830,176.03
  5. Step 5: Solve for x
    x = 1,387,830,176.03/41,906.26
  6. Step 6: Final answer
    x = 33,117.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.