Finding the Fourth Proportional to 120,108, 180,162 and 32,556
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Solution
The fourth proportional to 120,108, 180,162 and 32,556 is: 48,834
Step by Step Solution
- Step 1: Write the proportion equation
120,108 : 180,162 = 32,556 : x - Step 2: Convert to fraction form
120,108/180,162 = 32,556/x - Step 3: Cross multiply
120,108x = 180,162 × 32,556 - Step 4: Simplify right side
120,108x = 5,865,354,072 - Step 5: Solve for x
x = 5,865,354,072/120,108 - Step 6: Final answer
x = 48,834
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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.