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Finding the Fourth Proportional to 71,296.72, 106,923.48 and 29,734

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Solution

The fourth proportional to 71,296.72, 106,923.48 and 29,734 is: 44,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296.72 : 106,923.48 = 29,734 : x
  2. Step 2: Convert to fraction form
    71,296.72/106,923.48 = 29,734/x
  3. Step 3: Cross multiply
    71,296.72x = 106,923.48 × 29,734
  4. Step 4: Simplify right side
    71,296.72x = 3,179,262,754.32
  5. Step 5: Solve for x
    x = 3,179,262,754.32/71,296.72
  6. Step 6: Final answer
    x = 44,591.99

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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.