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Finding the Fourth Proportional to 32,732.08, 49,083.54 and 11,941

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Solution

The fourth proportional to 32,732.08, 49,083.54 and 11,941 is: 17,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732.08 : 49,083.54 = 11,941 : x
  2. Step 2: Convert to fraction form
    32,732.08/49,083.54 = 11,941/x
  3. Step 3: Cross multiply
    32,732.08x = 49,083.54 × 11,941
  4. Step 4: Simplify right side
    32,732.08x = 586,106,551.14
  5. Step 5: Solve for x
    x = 586,106,551.14/32,732.08
  6. Step 6: Final answer
    x = 17,906.18

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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.