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Finding the Fourth Proportional to 33,189.90, 49,785.24 and 9,816.80

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Solution

The fourth proportional to 33,189.90, 49,785.24 and 9,816.80 is: 14,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.90 : 49,785.24 = 9,816.80 : x
  2. Step 2: Convert to fraction form
    33,189.90/49,785.24 = 9,816.80/x
  3. Step 3: Cross multiply
    33,189.90x = 49,785.24 × 9,816.80
  4. Step 4: Simplify right side
    33,189.90x = 488,731,744.03
  5. Step 5: Solve for x
    x = 488,731,744.03/33,189.90
  6. Step 6: Final answer
    x = 14,725.32

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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.