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Finding the Fourth Proportional to 33,200.80, 45,817.10 and 18,296.80

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Solution

The fourth proportional to 33,200.80, 45,817.10 and 18,296.80 is: 25,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.80 : 45,817.10 = 18,296.80 : x
  2. Step 2: Convert to fraction form
    33,200.80/45,817.10 = 18,296.80/x
  3. Step 3: Cross multiply
    33,200.80x = 45,817.10 × 18,296.80
  4. Step 4: Simplify right side
    33,200.80x = 838,306,361.02
  5. Step 5: Solve for x
    x = 838,306,361.02/33,200.80
  6. Step 6: Final answer
    x = 25,249.58

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1.5x scale

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.