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Finding the Fourth Proportional to 34,136.74, 51,205.11 and 10,765.54

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Solution

The fourth proportional to 34,136.74, 51,205.11 and 10,765.54 is: 16,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,136.74 : 51,205.11 = 10,765.54 : x
  2. Step 2: Convert to fraction form
    34,136.74/51,205.11 = 10,765.54/x
  3. Step 3: Cross multiply
    34,136.74x = 51,205.11 × 10,765.54
  4. Step 4: Simplify right side
    34,136.74x = 551,250,659.91
  5. Step 5: Solve for x
    x = 551,250,659.91/34,136.74
  6. Step 6: Final answer
    x = 16,148.31

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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.