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Finding the Fourth Proportional to 49,163.82, 73,745.80 and 21,065.65

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Solution

The fourth proportional to 49,163.82, 73,745.80 and 21,065.65 is: 31,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163.82 : 73,745.80 = 21,065.65 : x
  2. Step 2: Convert to fraction form
    49,163.82/73,745.80 = 21,065.65/x
  3. Step 3: Cross multiply
    49,163.82x = 73,745.80 × 21,065.65
  4. Step 4: Simplify right side
    49,163.82x = 1,553,503,211.77
  5. Step 5: Solve for x
    x = 1,553,503,211.77/49,163.82
  6. Step 6: Final answer
    x = 31,598.50

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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.