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Finding the Fourth Proportional to 34,682.75, 47,861.17 and 19,575.23

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Solution

The fourth proportional to 34,682.75, 47,861.17 and 19,575.23 is: 27,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682.75 : 47,861.17 = 19,575.23 : x
  2. Step 2: Convert to fraction form
    34,682.75/47,861.17 = 19,575.23/x
  3. Step 3: Cross multiply
    34,682.75x = 47,861.17 × 19,575.23
  4. Step 4: Simplify right side
    34,682.75x = 936,893,410.82
  5. Step 5: Solve for x
    x = 936,893,410.82/34,682.75
  6. Step 6: Final answer
    x = 27,013.24

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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.