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Finding the Fourth Proportional to 36,277.38, 54,416.34 and 9,983.57

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Solution

The fourth proportional to 36,277.38, 54,416.34 and 9,983.57 is: 14,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,277.38 : 54,416.34 = 9,983.57 : x
  2. Step 2: Convert to fraction form
    36,277.38/54,416.34 = 9,983.57/x
  3. Step 3: Cross multiply
    36,277.38x = 54,416.34 × 9,983.57
  4. Step 4: Simplify right side
    36,277.38x = 543,269,067.45
  5. Step 5: Solve for x
    x = 543,269,067.45/36,277.38
  6. Step 6: Final answer
    x = 14,975.42

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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.