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Finding the Fourth Proportional to 32,896.50, 49,339.29 and 11,832.27

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Solution

The fourth proportional to 32,896.50, 49,339.29 and 11,832.27 is: 17,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.50 : 49,339.29 = 11,832.27 : x
  2. Step 2: Convert to fraction form
    32,896.50/49,339.29 = 11,832.27/x
  3. Step 3: Cross multiply
    32,896.50x = 49,339.29 × 11,832.27
  4. Step 4: Simplify right side
    32,896.50x = 583,795,800.89
  5. Step 5: Solve for x
    x = 583,795,800.89/32,896.50
  6. Step 6: Final answer
    x = 17,746.44

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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.