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Finding the Fourth Proportional to 34,115.88, 51,134.94 and 15,609

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Solution

The fourth proportional to 34,115.88, 51,134.94 and 15,609 is: 23,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115.88 : 51,134.94 = 15,609 : x
  2. Step 2: Convert to fraction form
    34,115.88/51,134.94 = 15,609/x
  3. Step 3: Cross multiply
    34,115.88x = 51,134.94 × 15,609
  4. Step 4: Simplify right side
    34,115.88x = 798,165,278.46
  5. Step 5: Solve for x
    x = 798,165,278.46/34,115.88
  6. Step 6: Final answer
    x = 23,395.71

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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.