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Finding the Fourth Proportional to 49,245.94, 73,806.63 and 31,469.77

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Solution

The fourth proportional to 49,245.94, 73,806.63 and 31,469.77 is: 47,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,245.94 : 73,806.63 = 31,469.77 : x
  2. Step 2: Convert to fraction form
    49,245.94/73,806.63 = 31,469.77/x
  3. Step 3: Cross multiply
    49,245.94x = 73,806.63 × 31,469.77
  4. Step 4: Simplify right side
    49,245.94x = 2,322,677,670.58
  5. Step 5: Solve for x
    x = 2,322,677,670.58/49,245.94
  6. Step 6: Final answer
    x = 47,164.86

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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.