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Finding the Fourth Proportional to 71,194.82, 106,739.50 and 43,108.27

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Solution

The fourth proportional to 71,194.82, 106,739.50 and 43,108.27 is: 64,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,194.82 : 106,739.50 = 43,108.27 : x
  2. Step 2: Convert to fraction form
    71,194.82/106,739.50 = 43,108.27/x
  3. Step 3: Cross multiply
    71,194.82x = 106,739.50 × 43,108.27
  4. Step 4: Simplify right side
    71,194.82x = 4,601,355,185.67
  5. Step 5: Solve for x
    x = 4,601,355,185.67/71,194.82
  6. Step 6: Final answer
    x = 64,630.48

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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.