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Finding the Fourth Proportional to 34,523.16, 47,591.98 and 22,861.88

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Solution

The fourth proportional to 34,523.16, 47,591.98 and 22,861.88 is: 31,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,523.16 : 47,591.98 = 22,861.88 : x
  2. Step 2: Convert to fraction form
    34,523.16/47,591.98 = 22,861.88/x
  3. Step 3: Cross multiply
    34,523.16x = 47,591.98 × 22,861.88
  4. Step 4: Simplify right side
    34,523.16x = 1,088,042,245.03
  5. Step 5: Solve for x
    x = 1,088,042,245.03/34,523.16
  6. Step 6: Final answer
    x = 31,516.30

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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.