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Finding the Fourth Proportional to 33,633.36, 50,449.90 and 10,259.72

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Solution

The fourth proportional to 33,633.36, 50,449.90 and 10,259.72 is: 15,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.36 : 50,449.90 = 10,259.72 : x
  2. Step 2: Convert to fraction form
    33,633.36/50,449.90 = 10,259.72/x
  3. Step 3: Cross multiply
    33,633.36x = 50,449.90 × 10,259.72
  4. Step 4: Simplify right side
    33,633.36x = 517,601,848.03
  5. Step 5: Solve for x
    x = 517,601,848.03/33,633.36
  6. Step 6: Final answer
    x = 15,389.54

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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.