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Finding the Fourth Proportional to 34,511.84, 51,751.56 and 15,786.56

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Solution

The fourth proportional to 34,511.84, 51,751.56 and 15,786.56 is: 23,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,511.84 : 51,751.56 = 15,786.56 : x
  2. Step 2: Convert to fraction form
    34,511.84/51,751.56 = 15,786.56/x
  3. Step 3: Cross multiply
    34,511.84x = 51,751.56 × 15,786.56
  4. Step 4: Simplify right side
    34,511.84x = 816,979,107.03
  5. Step 5: Solve for x
    x = 816,979,107.03/34,511.84
  6. Step 6: Final answer
    x = 23,672.43

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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.