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Finding the Fourth Proportional to 33,203.56, 49,810.24 and 11,854.62

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Solution

The fourth proportional to 33,203.56, 49,810.24 and 11,854.62 is: 17,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203.56 : 49,810.24 = 11,854.62 : x
  2. Step 2: Convert to fraction form
    33,203.56/49,810.24 = 11,854.62/x
  3. Step 3: Cross multiply
    33,203.56x = 49,810.24 × 11,854.62
  4. Step 4: Simplify right side
    33,203.56x = 590,481,467.31
  5. Step 5: Solve for x
    x = 590,481,467.31/33,203.56
  6. Step 6: Final answer
    x = 17,783.68

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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.