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Finding the Fourth Proportional to 32,414, 48,629.22 and 9,040.44

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Solution

The fourth proportional to 32,414, 48,629.22 and 9,040.44 is: 13,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414 : 48,629.22 = 9,040.44 : x
  2. Step 2: Convert to fraction form
    32,414/48,629.22 = 9,040.44/x
  3. Step 3: Cross multiply
    32,414x = 48,629.22 × 9,040.44
  4. Step 4: Simplify right side
    32,414x = 439,629,500.45
  5. Step 5: Solve for x
    x = 439,629,500.45/32,414
  6. Step 6: Final answer
    x = 13,562.95

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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.