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Finding the Fourth Proportional to 31,285.78, 43,174.53 and 17,138.63

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Solution

The fourth proportional to 31,285.78, 43,174.53 and 17,138.63 is: 23,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,285.78 : 43,174.53 = 17,138.63 : x
  2. Step 2: Convert to fraction form
    31,285.78/43,174.53 = 17,138.63/x
  3. Step 3: Cross multiply
    31,285.78x = 43,174.53 × 17,138.63
  4. Step 4: Simplify right side
    31,285.78x = 739,952,251.43
  5. Step 5: Solve for x
    x = 739,952,251.43/31,285.78
  6. Step 6: Final answer
    x = 23,651.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.