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Finding the Fourth Proportional to 32,771.37, 49,098.74 and 13,754.19

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Solution

The fourth proportional to 32,771.37, 49,098.74 and 13,754.19 is: 20,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.37 : 49,098.74 = 13,754.19 : x
  2. Step 2: Convert to fraction form
    32,771.37/49,098.74 = 13,754.19/x
  3. Step 3: Cross multiply
    32,771.37x = 49,098.74 × 13,754.19
  4. Step 4: Simplify right side
    32,771.37x = 675,313,398.72
  5. Step 5: Solve for x
    x = 675,313,398.72/32,771.37
  6. Step 6: Final answer
    x = 20,606.81

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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.