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Finding the Fourth Proportional to 32,963.49, 49,444.86 and 8,003.82

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Solution

The fourth proportional to 32,963.49, 49,444.86 and 8,003.82 is: 12,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.49 : 49,444.86 = 8,003.82 : x
  2. Step 2: Convert to fraction form
    32,963.49/49,444.86 = 8,003.82/x
  3. Step 3: Cross multiply
    32,963.49x = 49,444.86 × 8,003.82
  4. Step 4: Simplify right side
    32,963.49x = 395,747,759.37
  5. Step 5: Solve for x
    x = 395,747,759.37/32,963.49
  6. Step 6: Final answer
    x = 12,005.64

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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.