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Finding the Fourth Proportional to 34,074.50, 51,097.14 and 11,881.31

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Solution

The fourth proportional to 34,074.50, 51,097.14 and 11,881.31 is: 17,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.50 : 51,097.14 = 11,881.31 : x
  2. Step 2: Convert to fraction form
    34,074.50/51,097.14 = 11,881.31/x
  3. Step 3: Cross multiply
    34,074.50x = 51,097.14 × 11,881.31
  4. Step 4: Simplify right side
    34,074.50x = 607,100,704.97
  5. Step 5: Solve for x
    x = 607,100,704.97/34,074.50
  6. Step 6: Final answer
    x = 17,816.87

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Why These Related Problems?

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