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Finding the Fourth Proportional to 33,839.38, 46,703.73 and 20,412.57

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Solution

The fourth proportional to 33,839.38, 46,703.73 and 20,412.57 is: 28,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,839.38 : 46,703.73 = 20,412.57 : x
  2. Step 2: Convert to fraction form
    33,839.38/46,703.73 = 20,412.57/x
  3. Step 3: Cross multiply
    33,839.38x = 46,703.73 × 20,412.57
  4. Step 4: Simplify right side
    33,839.38x = 953,343,069.01
  5. Step 5: Solve for x
    x = 953,343,069.01/33,839.38
  6. Step 6: Final answer
    x = 28,172.59

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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.