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Finding the Fourth Proportional to 30,676.85, 46,015.70 and 20,213.85

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Solution

The fourth proportional to 30,676.85, 46,015.70 and 20,213.85 is: 30,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.85 : 46,015.70 = 20,213.85 : x
  2. Step 2: Convert to fraction form
    30,676.85/46,015.70 = 20,213.85/x
  3. Step 3: Cross multiply
    30,676.85x = 46,015.70 × 20,213.85
  4. Step 4: Simplify right side
    30,676.85x = 930,154,457.45
  5. Step 5: Solve for x
    x = 930,154,457.45/30,676.85
  6. Step 6: Final answer
    x = 30,321.06

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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.