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Finding the Fourth Proportional to 36,046.14, 54,043.74 and 13,840.80

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Solution

The fourth proportional to 36,046.14, 54,043.74 and 13,840.80 is: 20,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,046.14 : 54,043.74 = 13,840.80 : x
  2. Step 2: Convert to fraction form
    36,046.14/54,043.74 = 13,840.80/x
  3. Step 3: Cross multiply
    36,046.14x = 54,043.74 × 13,840.80
  4. Step 4: Simplify right side
    36,046.14x = 748,008,596.59
  5. Step 5: Solve for x
    x = 748,008,596.59/36,046.14
  6. Step 6: Final answer
    x = 20,751.42

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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.