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Finding the Fourth Proportional to 30,791.77, 46,140.68 and 16,005.49

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Solution

The fourth proportional to 30,791.77, 46,140.68 and 16,005.49 is: 23,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,791.77 : 46,140.68 = 16,005.49 : x
  2. Step 2: Convert to fraction form
    30,791.77/46,140.68 = 16,005.49/x
  3. Step 3: Cross multiply
    30,791.77x = 46,140.68 × 16,005.49
  4. Step 4: Simplify right side
    30,791.77x = 738,504,112.31
  5. Step 5: Solve for x
    x = 738,504,112.31/30,791.77
  6. Step 6: Final answer
    x = 23,983.81

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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.