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Finding the Fourth Proportional to 36,078.24, 54,084.24 and 13,884.96

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Solution

The fourth proportional to 36,078.24, 54,084.24 and 13,884.96 is: 20,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078.24 : 54,084.24 = 13,884.96 : x
  2. Step 2: Convert to fraction form
    36,078.24/54,084.24 = 13,884.96/x
  3. Step 3: Cross multiply
    36,078.24x = 54,084.24 × 13,884.96
  4. Step 4: Simplify right side
    36,078.24x = 750,957,509.03
  5. Step 5: Solve for x
    x = 750,957,509.03/36,078.24
  6. Step 6: Final answer
    x = 20,814.69

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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.