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Finding the Fourth Proportional to 32,775.44, 49,163.36 and 9,401.94

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Solution

The fourth proportional to 32,775.44, 49,163.36 and 9,401.94 is: 14,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,775.44 : 49,163.36 = 9,401.94 : x
  2. Step 2: Convert to fraction form
    32,775.44/49,163.36 = 9,401.94/x
  3. Step 3: Cross multiply
    32,775.44x = 49,163.36 × 9,401.94
  4. Step 4: Simplify right side
    32,775.44x = 462,230,913.91
  5. Step 5: Solve for x
    x = 462,230,913.91/32,775.44
  6. Step 6: Final answer
    x = 14,102.97

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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.