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Finding the Fourth Proportional to 34,491.68, 51,709.31 and 17,856.46

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Solution

The fourth proportional to 34,491.68, 51,709.31 and 17,856.46 is: 26,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491.68 : 51,709.31 = 17,856.46 : x
  2. Step 2: Convert to fraction form
    34,491.68/51,709.31 = 17,856.46/x
  3. Step 3: Cross multiply
    34,491.68x = 51,709.31 × 17,856.46
  4. Step 4: Simplify right side
    34,491.68x = 923,345,267.96
  5. Step 5: Solve for x
    x = 923,345,267.96/34,491.68
  6. Step 6: Final answer
    x = 26,770.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.