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Finding the Fourth Proportional to 70,797.24, 106,166.14 and 41,235.48

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Solution

The fourth proportional to 70,797.24, 106,166.14 and 41,235.48 is: 61,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,797.24 : 106,166.14 = 41,235.48 : x
  2. Step 2: Convert to fraction form
    70,797.24/106,166.14 = 41,235.48/x
  3. Step 3: Cross multiply
    70,797.24x = 106,166.14 × 41,235.48
  4. Step 4: Simplify right side
    70,797.24x = 4,377,811,742.65
  5. Step 5: Solve for x
    x = 4,377,811,742.65/70,797.24
  6. Step 6: Final answer
    x = 61,835.91

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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.