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Finding the Fourth Proportional to 32,285.94, 48,431.69 and 8,912.37

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Solution

The fourth proportional to 32,285.94, 48,431.69 and 8,912.37 is: 13,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,285.94 : 48,431.69 = 8,912.37 : x
  2. Step 2: Convert to fraction form
    32,285.94/48,431.69 = 8,912.37/x
  3. Step 3: Cross multiply
    32,285.94x = 48,431.69 × 8,912.37
  4. Step 4: Simplify right side
    32,285.94x = 431,641,141.01
  5. Step 5: Solve for x
    x = 431,641,141.01/32,285.94
  6. Step 6: Final answer
    x = 13,369.32

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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.