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Finding the Fourth Proportional to 32,576.80, 48,863.04 and 9,205.60

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Solution

The fourth proportional to 32,576.80, 48,863.04 and 9,205.60 is: 13,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.80 : 48,863.04 = 9,205.60 : x
  2. Step 2: Convert to fraction form
    32,576.80/48,863.04 = 9,205.60/x
  3. Step 3: Cross multiply
    32,576.80x = 48,863.04 × 9,205.60
  4. Step 4: Simplify right side
    32,576.80x = 449,813,601.02
  5. Step 5: Solve for x
    x = 449,813,601.02/32,576.80
  6. Step 6: Final answer
    x = 13,807.79

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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.