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Finding the Fourth Proportional to 71,362.94, 106,964.22 and 33,892.34

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Solution

The fourth proportional to 71,362.94, 106,964.22 and 33,892.34 is: 50,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,362.94 : 106,964.22 = 33,892.34 : x
  2. Step 2: Convert to fraction form
    71,362.94/106,964.22 = 33,892.34/x
  3. Step 3: Cross multiply
    71,362.94x = 106,964.22 × 33,892.34
  4. Step 4: Simplify right side
    71,362.94x = 3,625,267,712.07
  5. Step 5: Solve for x
    x = 3,625,267,712.07/71,362.94
  6. Step 6: Final answer
    x = 50,800.43

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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.