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Finding the Fourth Proportional to 32,863.88, 49,260.54 and 11,783.64

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Solution

The fourth proportional to 32,863.88, 49,260.54 and 11,783.64 is: 17,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.88 : 49,260.54 = 11,783.64 : x
  2. Step 2: Convert to fraction form
    32,863.88/49,260.54 = 11,783.64/x
  3. Step 3: Cross multiply
    32,863.88x = 49,260.54 × 11,783.64
  4. Step 4: Simplify right side
    32,863.88x = 580,468,469.57
  5. Step 5: Solve for x
    x = 580,468,469.57/32,863.88
  6. Step 6: Final answer
    x = 17,662.81

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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.