Finding the Fourth Proportional to 97,343.96, 146,015.92 and 27,223.26
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Solution
The fourth proportional to 97,343.96, 146,015.92 and 27,223.26 is: 40,834.88
Step by Step Solution
- Step 1: Write the proportion equation
97,343.96 : 146,015.92 = 27,223.26 : x - Step 2: Convert to fraction form
97,343.96/146,015.92 = 27,223.26/x - Step 3: Cross multiply
97,343.96x = 146,015.92 × 27,223.26 - Step 4: Simplify right side
97,343.96x = 3,975,029,354.30 - Step 5: Solve for x
x = 3,975,029,354.30/97,343.96 - Step 6: Final answer
x = 40,834.88
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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.