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Finding the Fourth Proportional to 36,851.67, 55,277.50 and 9,149.67

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Solution

The fourth proportional to 36,851.67, 55,277.50 and 9,149.67 is: 13,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,851.67 : 55,277.50 = 9,149.67 : x
  2. Step 2: Convert to fraction form
    36,851.67/55,277.50 = 9,149.67/x
  3. Step 3: Cross multiply
    36,851.67x = 55,277.50 × 9,149.67
  4. Step 4: Simplify right side
    36,851.67x = 505,770,883.43
  5. Step 5: Solve for x
    x = 505,770,883.43/36,851.67
  6. Step 6: Final answer
    x = 13,724.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.