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Finding the Fourth Proportional to 33,791.81, 46,631.38 and 20,182.16

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Solution

The fourth proportional to 33,791.81, 46,631.38 and 20,182.16 is: 27,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,791.81 : 46,631.38 = 20,182.16 : x
  2. Step 2: Convert to fraction form
    33,791.81/46,631.38 = 20,182.16/x
  3. Step 3: Cross multiply
    33,791.81x = 46,631.38 × 20,182.16
  4. Step 4: Simplify right side
    33,791.81x = 941,121,638.11
  5. Step 5: Solve for x
    x = 941,121,638.11/33,791.81
  6. Step 6: Final answer
    x = 27,850.58

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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.