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Finding the Fourth Proportional to 32,853.60, 49,280.40 and 8,229.60

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Solution

The fourth proportional to 32,853.60, 49,280.40 and 8,229.60 is: 12,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.60 : 49,280.40 = 8,229.60 : x
  2. Step 2: Convert to fraction form
    32,853.60/49,280.40 = 8,229.60/x
  3. Step 3: Cross multiply
    32,853.60x = 49,280.40 × 8,229.60
  4. Step 4: Simplify right side
    32,853.60x = 405,557,979.84
  5. Step 5: Solve for x
    x = 405,557,979.84/32,853.60
  6. Step 6: Final answer
    x = 12,344.40

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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.