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Finding the Fourth Proportional to 36,416, 54,626.97 and 10,120.75

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Solution

The fourth proportional to 36,416, 54,626.97 and 10,120.75 is: 15,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416 : 54,626.97 = 10,120.75 : x
  2. Step 2: Convert to fraction form
    36,416/54,626.97 = 10,120.75/x
  3. Step 3: Cross multiply
    36,416x = 54,626.97 × 10,120.75
  4. Step 4: Simplify right side
    36,416x = 552,865,906.63
  5. Step 5: Solve for x
    x = 552,865,906.63/36,416
  6. Step 6: Final answer
    x = 15,181.95

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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.