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Finding the Fourth Proportional to 71,192.49, 106,736.01 and 43,105.93

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Solution

The fourth proportional to 71,192.49, 106,736.01 and 43,105.93 is: 64,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,192.49 : 106,736.01 = 43,105.93 : x
  2. Step 2: Convert to fraction form
    71,192.49/106,736.01 = 43,105.93/x
  3. Step 3: Cross multiply
    71,192.49x = 106,736.01 × 43,105.93
  4. Step 4: Simplify right side
    71,192.49x = 4,600,954,975.54
  5. Step 5: Solve for x
    x = 4,600,954,975.54/71,192.49
  6. Step 6: Final answer
    x = 64,626.97

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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.