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Finding the Fourth Proportional to 33,583.20, 50,365.80 and 10,203.36

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Solution

The fourth proportional to 33,583.20, 50,365.80 and 10,203.36 is: 15,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.20 : 50,365.80 = 10,203.36 : x
  2. Step 2: Convert to fraction form
    33,583.20/50,365.80 = 10,203.36/x
  3. Step 3: Cross multiply
    33,583.20x = 50,365.80 × 10,203.36
  4. Step 4: Simplify right side
    33,583.20x = 513,900,389.09
  5. Step 5: Solve for x
    x = 513,900,389.09/33,583.20
  6. Step 6: Final answer
    x = 15,302.31

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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.