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Finding the Fourth Proportional to 31,885.72, 44,002.26 and 17,738.26

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Solution

The fourth proportional to 31,885.72, 44,002.26 and 17,738.26 is: 24,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.72 : 44,002.26 = 17,738.26 : x
  2. Step 2: Convert to fraction form
    31,885.72/44,002.26 = 17,738.26/x
  3. Step 3: Cross multiply
    31,885.72x = 44,002.26 × 17,738.26
  4. Step 4: Simplify right side
    31,885.72x = 780,523,528.47
  5. Step 5: Solve for x
    x = 780,523,528.47/31,885.72
  6. Step 6: Final answer
    x = 24,478.78

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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.