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Finding the Fourth Proportional to 73,893.26, 110,735.10 and 57,175.47

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Solution

The fourth proportional to 73,893.26, 110,735.10 and 57,175.47 is: 85,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,893.26 : 110,735.10 = 57,175.47 : x
  2. Step 2: Convert to fraction form
    73,893.26/110,735.10 = 57,175.47/x
  3. Step 3: Cross multiply
    73,893.26x = 110,735.10 × 57,175.47
  4. Step 4: Simplify right side
    73,893.26x = 6,331,331,388.00
  5. Step 5: Solve for x
    x = 6,331,331,388.00/73,893.26
  6. Step 6: Final answer
    x = 85,682.12

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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.