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Finding the Fourth Proportional to 50,450.29, 69,620.38 and 31,597.81

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Solution

The fourth proportional to 50,450.29, 69,620.38 and 31,597.81 is: 43,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,450.29 : 69,620.38 = 31,597.81 : x
  2. Step 2: Convert to fraction form
    50,450.29/69,620.38 = 31,597.81/x
  3. Step 3: Cross multiply
    50,450.29x = 69,620.38 × 31,597.81
  4. Step 4: Simplify right side
    50,450.29x = 2,199,851,539.37
  5. Step 5: Solve for x
    x = 2,199,851,539.37/50,450.29
  6. Step 6: Final answer
    x = 43,604.34

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Why These Related Problems?

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