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Finding the Fourth Proportional to 33,209.42, 49,796.85 and 9,832.70

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Solution

The fourth proportional to 33,209.42, 49,796.85 and 9,832.70 is: 14,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.42 : 49,796.85 = 9,832.70 : x
  2. Step 2: Convert to fraction form
    33,209.42/49,796.85 = 9,832.70/x
  3. Step 3: Cross multiply
    33,209.42x = 49,796.85 × 9,832.70
  4. Step 4: Simplify right side
    33,209.42x = 489,637,487.00
  5. Step 5: Solve for x
    x = 489,637,487.00/33,209.42
  6. Step 6: Final answer
    x = 14,743.93

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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.