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Finding the Fourth Proportional to 30,850.56, 46,273.86 and 9,790.20

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Solution

The fourth proportional to 30,850.56, 46,273.86 and 9,790.20 is: 14,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.56 : 46,273.86 = 9,790.20 : x
  2. Step 2: Convert to fraction form
    30,850.56/46,273.86 = 9,790.20/x
  3. Step 3: Cross multiply
    30,850.56x = 46,273.86 × 9,790.20
  4. Step 4: Simplify right side
    30,850.56x = 453,030,344.17
  5. Step 5: Solve for x
    x = 453,030,344.17/30,850.56
  6. Step 6: Final answer
    x = 14,684.67

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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.