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Finding the Fourth Proportional to 33,682, 46,475.68 and 20,250.04

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Solution

The fourth proportional to 33,682, 46,475.68 and 20,250.04 is: 27,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,682 : 46,475.68 = 20,250.04 : x
  2. Step 2: Convert to fraction form
    33,682/46,475.68 = 20,250.04/x
  3. Step 3: Cross multiply
    33,682x = 46,475.68 × 20,250.04
  4. Step 4: Simplify right side
    33,682x = 941,134,379.03
  5. Step 5: Solve for x
    x = 941,134,379.03/33,682
  6. Step 6: Final answer
    x = 27,941.76

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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.