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Finding the Fourth Proportional to 34,791.78, 52,176.72 and 11,412.78

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Solution

The fourth proportional to 34,791.78, 52,176.72 and 11,412.78 is: 17,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,791.78 : 52,176.72 = 11,412.78 : x
  2. Step 2: Convert to fraction form
    34,791.78/52,176.72 = 11,412.78/x
  3. Step 3: Cross multiply
    34,791.78x = 52,176.72 × 11,412.78
  4. Step 4: Simplify right side
    34,791.78x = 595,481,426.48
  5. Step 5: Solve for x
    x = 595,481,426.48/34,791.78
  6. Step 6: Final answer
    x = 17,115.58

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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.