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Finding the Fourth Proportional to 34,098.75, 51,147.57 and 10,725.20

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Solution

The fourth proportional to 34,098.75, 51,147.57 and 10,725.20 is: 16,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.75 : 51,147.57 = 10,725.20 : x
  2. Step 2: Convert to fraction form
    34,098.75/51,147.57 = 10,725.20/x
  3. Step 3: Cross multiply
    34,098.75x = 51,147.57 × 10,725.20
  4. Step 4: Simplify right side
    34,098.75x = 548,567,662.03
  5. Step 5: Solve for x
    x = 548,567,662.03/34,098.75
  6. Step 6: Final answer
    x = 16,087.62

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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.