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Finding the Fourth Proportional to 33,452, 46,165.20 and 20,020.70

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Solution

The fourth proportional to 33,452, 46,165.20 and 20,020.70 is: 27,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,452 : 46,165.20 = 20,020.70 : x
  2. Step 2: Convert to fraction form
    33,452/46,165.20 = 20,020.70/x
  3. Step 3: Cross multiply
    33,452x = 46,165.20 × 20,020.70
  4. Step 4: Simplify right side
    33,452x = 924,259,619.64
  5. Step 5: Solve for x
    x = 924,259,619.64/33,452
  6. Step 6: Final answer
    x = 27,629.43

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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.