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Finding the Fourth Proportional to 34,147.69, 51,221.50 and 10,774.13

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Solution

The fourth proportional to 34,147.69, 51,221.50 and 10,774.13 is: 16,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,147.69 : 51,221.50 = 10,774.13 : x
  2. Step 2: Convert to fraction form
    34,147.69/51,221.50 = 10,774.13/x
  3. Step 3: Cross multiply
    34,147.69x = 51,221.50 × 10,774.13
  4. Step 4: Simplify right side
    34,147.69x = 551,866,816.75
  5. Step 5: Solve for x
    x = 551,866,816.75/34,147.69
  6. Step 6: Final answer
    x = 16,161.18

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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.