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Finding the Fourth Proportional to 33,343.64, 50,023.24 and 9,650.24

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Solution

The fourth proportional to 33,343.64, 50,023.24 and 9,650.24 is: 14,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,343.64 : 50,023.24 = 9,650.24 : x
  2. Step 2: Convert to fraction form
    33,343.64/50,023.24 = 9,650.24/x
  3. Step 3: Cross multiply
    33,343.64x = 50,023.24 × 9,650.24
  4. Step 4: Simplify right side
    33,343.64x = 482,736,271.58
  5. Step 5: Solve for x
    x = 482,736,271.58/33,343.64
  6. Step 6: Final answer
    x = 14,477.61

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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.