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Finding the Fourth Proportional to 34,149.52, 51,189 and 13,084.64

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Solution

The fourth proportional to 34,149.52, 51,189 and 13,084.64 is: 19,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149.52 : 51,189 = 13,084.64 : x
  2. Step 2: Convert to fraction form
    34,149.52/51,189 = 13,084.64/x
  3. Step 3: Cross multiply
    34,149.52x = 51,189 × 13,084.64
  4. Step 4: Simplify right side
    34,149.52x = 669,789,636.96
  5. Step 5: Solve for x
    x = 669,789,636.96/34,149.52
  6. Step 6: Final answer
    x = 19,613.44

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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.