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Finding the Fourth Proportional to 30,800.33, 46,206.20 and 9,745.67

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Solution

The fourth proportional to 30,800.33, 46,206.20 and 9,745.67 is: 14,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.33 : 46,206.20 = 9,745.67 : x
  2. Step 2: Convert to fraction form
    30,800.33/46,206.20 = 9,745.67/x
  3. Step 3: Cross multiply
    30,800.33x = 46,206.20 × 9,745.67
  4. Step 4: Simplify right side
    30,800.33x = 450,310,443.94
  5. Step 5: Solve for x
    x = 450,310,443.94/30,800.33
  6. Step 6: Final answer
    x = 14,620.31

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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.