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Finding the Fourth Proportional to 33,523.38, 46,266.93 and 22,364.82

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Solution

The fourth proportional to 33,523.38, 46,266.93 and 22,364.82 is: 30,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.38 : 46,266.93 = 22,364.82 : x
  2. Step 2: Convert to fraction form
    33,523.38/46,266.93 = 22,364.82/x
  3. Step 3: Cross multiply
    33,523.38x = 46,266.93 × 22,364.82
  4. Step 4: Simplify right side
    33,523.38x = 1,034,751,561.40
  5. Step 5: Solve for x
    x = 1,034,751,561.40/33,523.38
  6. Step 6: Final answer
    x = 30,866.56

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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.