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Finding the Fourth Proportional to 34,096.08, 47,049.24 and 19,946.16

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Solution

The fourth proportional to 34,096.08, 47,049.24 and 19,946.16 is: 27,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,096.08 : 47,049.24 = 19,946.16 : x
  2. Step 2: Convert to fraction form
    34,096.08/47,049.24 = 19,946.16/x
  3. Step 3: Cross multiply
    34,096.08x = 47,049.24 × 19,946.16
  4. Step 4: Simplify right side
    34,096.08x = 938,451,668.92
  5. Step 5: Solve for x
    x = 938,451,668.92/34,096.08
  6. Step 6: Final answer
    x = 27,523.74

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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.