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Finding the Fourth Proportional to 33,662.64, 50,494.24 and 10,289.52

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Solution

The fourth proportional to 33,662.64, 50,494.24 and 10,289.52 is: 15,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,662.64 : 50,494.24 = 10,289.52 : x
  2. Step 2: Convert to fraction form
    33,662.64/50,494.24 = 10,289.52/x
  3. Step 3: Cross multiply
    33,662.64x = 50,494.24 × 10,289.52
  4. Step 4: Simplify right side
    33,662.64x = 519,561,492.36
  5. Step 5: Solve for x
    x = 519,561,492.36/33,662.64
  6. Step 6: Final answer
    x = 15,434.37

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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.