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Finding the Fourth Proportional to 30,674.85, 46,012.70 and 20,211.85

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Solution

The fourth proportional to 30,674.85, 46,012.70 and 20,211.85 is: 30,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.85 : 46,012.70 = 20,211.85 : x
  2. Step 2: Convert to fraction form
    30,674.85/46,012.70 = 20,211.85/x
  3. Step 3: Cross multiply
    30,674.85x = 46,012.70 × 20,211.85
  4. Step 4: Simplify right side
    30,674.85x = 930,001,790.50
  5. Step 5: Solve for x
    x = 930,001,790.50/30,674.85
  6. Step 6: Final answer
    x = 30,318.06

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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.