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Finding the Fourth Proportional to 33,387.28, 46,074.48 and 20,812

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Solution

The fourth proportional to 33,387.28, 46,074.48 and 20,812 is: 28,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,387.28 : 46,074.48 = 20,812 : x
  2. Step 2: Convert to fraction form
    33,387.28/46,074.48 = 20,812/x
  3. Step 3: Cross multiply
    33,387.28x = 46,074.48 × 20,812
  4. Step 4: Simplify right side
    33,387.28x = 958,902,077.76
  5. Step 5: Solve for x
    x = 958,902,077.76/33,387.28
  6. Step 6: Final answer
    x = 28,720.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.