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Finding the Fourth Proportional to 73,512.78, 110,305.60 and 29,138.54

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Solution

The fourth proportional to 73,512.78, 110,305.60 and 29,138.54 is: 43,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,512.78 : 110,305.60 = 29,138.54 : x
  2. Step 2: Convert to fraction form
    73,512.78/110,305.60 = 29,138.54/x
  3. Step 3: Cross multiply
    73,512.78x = 110,305.60 × 29,138.54
  4. Step 4: Simplify right side
    73,512.78x = 3,214,144,137.82
  5. Step 5: Solve for x
    x = 3,214,144,137.82/73,512.78
  6. Step 6: Final answer
    x = 43,722.25

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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.