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Finding the Fourth Proportional to 71,340.68, 106,967.22 and 33,849.98

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Solution

The fourth proportional to 71,340.68, 106,967.22 and 33,849.98 is: 50,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,340.68 : 106,967.22 = 33,849.98 : x
  2. Step 2: Convert to fraction form
    71,340.68/106,967.22 = 33,849.98/x
  3. Step 3: Cross multiply
    71,340.68x = 106,967.22 × 33,849.98
  4. Step 4: Simplify right side
    71,340.68x = 3,620,838,257.66
  5. Step 5: Solve for x
    x = 3,620,838,257.66/71,340.68
  6. Step 6: Final answer
    x = 50,754.19

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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.