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Finding the Fourth Proportional to 50,313.97, 75,383.64 and 30,550.78

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Solution

The fourth proportional to 50,313.97, 75,383.64 and 30,550.78 is: 45,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,313.97 : 75,383.64 = 30,550.78 : x
  2. Step 2: Convert to fraction form
    50,313.97/75,383.64 = 30,550.78/x
  3. Step 3: Cross multiply
    50,313.97x = 75,383.64 × 30,550.78
  4. Step 4: Simplify right side
    50,313.97x = 2,303,029,001.24
  5. Step 5: Solve for x
    x = 2,303,029,001.24/50,313.97
  6. Step 6: Final answer
    x = 45,773.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.