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Finding the Fourth Proportional to 30,993.57, 46,489.95 and 7,620.21

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Solution

The fourth proportional to 30,993.57, 46,489.95 and 7,620.21 is: 11,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.57 : 46,489.95 = 7,620.21 : x
  2. Step 2: Convert to fraction form
    30,993.57/46,489.95 = 7,620.21/x
  3. Step 3: Cross multiply
    30,993.57x = 46,489.95 × 7,620.21
  4. Step 4: Simplify right side
    30,993.57x = 354,263,181.89
  5. Step 5: Solve for x
    x = 354,263,181.89/30,993.57
  6. Step 6: Final answer
    x = 11,430.22

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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.