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Finding the Fourth Proportional to 23,049.50, 31,741.39 and 20,023.25

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Solution

The fourth proportional to 23,049.50, 31,741.39 and 20,023.25 is: 27,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.50 : 31,741.39 = 20,023.25 : x
  2. Step 2: Convert to fraction form
    23,049.50/31,741.39 = 20,023.25/x
  3. Step 3: Cross multiply
    23,049.50x = 31,741.39 × 20,023.25
  4. Step 4: Simplify right side
    23,049.50x = 635,565,578.55
  5. Step 5: Solve for x
    x = 635,565,578.55/23,049.50
  6. Step 6: Final answer
    x = 27,573.94

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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.