Finding the Fourth Proportional to 106,982.24, 160,473.20 and 32,102.24
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Solution
The fourth proportional to 106,982.24, 160,473.20 and 32,102.24 is: 48,153.31
Step by Step Solution
- Step 1: Write the proportion equation
106,982.24 : 160,473.20 = 32,102.24 : x - Step 2: Convert to fraction form
106,982.24/160,473.20 = 32,102.24/x - Step 3: Cross multiply
106,982.24x = 160,473.20 × 32,102.24 - Step 4: Simplify right side
106,982.24x = 5,151,548,217.09 - Step 5: Solve for x
x = 5,151,548,217.09/106,982.24 - Step 6: Final answer
x = 48,153.31
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1.5x scale
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.