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Finding the Fourth Proportional to 33,643.20, 50,464.80 and 24,830.40

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Solution

The fourth proportional to 33,643.20, 50,464.80 and 24,830.40 is: 37,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.20 : 50,464.80 = 24,830.40 : x
  2. Step 2: Convert to fraction form
    33,643.20/50,464.80 = 24,830.40/x
  3. Step 3: Cross multiply
    33,643.20x = 50,464.80 × 24,830.40
  4. Step 4: Simplify right side
    33,643.20x = 1,253,061,169.92
  5. Step 5: Solve for x
    x = 1,253,061,169.92/33,643.20
  6. Step 6: Final answer
    x = 37,245.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.