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Finding the Fourth Proportional to 50,450.33, 69,655 and 31,358.63

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Solution

The fourth proportional to 50,450.33, 69,655 and 31,358.63 is: 43,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,450.33 : 69,655 = 31,358.63 : x
  2. Step 2: Convert to fraction form
    50,450.33/69,655 = 31,358.63/x
  3. Step 3: Cross multiply
    50,450.33x = 69,655 × 31,358.63
  4. Step 4: Simplify right side
    50,450.33x = 2,184,285,372.65
  5. Step 5: Solve for x
    x = 2,184,285,372.65/50,450.33
  6. Step 6: Final answer
    x = 43,295.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.