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Finding the Fourth Proportional to 32,855.49, 49,245.37 and 14,107.64

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Solution

The fourth proportional to 32,855.49, 49,245.37 and 14,107.64 is: 21,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,855.49 : 49,245.37 = 14,107.64 : x
  2. Step 2: Convert to fraction form
    32,855.49/49,245.37 = 14,107.64/x
  3. Step 3: Cross multiply
    32,855.49x = 49,245.37 × 14,107.64
  4. Step 4: Simplify right side
    32,855.49x = 694,735,670.13
  5. Step 5: Solve for x
    x = 694,735,670.13/32,855.49
  6. Step 6: Final answer
    x = 21,145.19

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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.