Finding the Fourth Proportional to 106,995.36, 160,492.64 and 32,115.18
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Solution
The fourth proportional to 106,995.36, 160,492.64 and 32,115.18 is: 48,172.65
Step by Step Solution
- Step 1: Write the proportion equation
106,995.36 : 160,492.64 = 32,115.18 : x - Step 2: Convert to fraction form
106,995.36/160,492.64 = 32,115.18/x - Step 3: Cross multiply
106,995.36x = 160,492.64 × 32,115.18 - Step 4: Simplify right side
106,995.36x = 5,154,250,022.28 - Step 5: Solve for x
x = 5,154,250,022.28/106,995.36 - Step 6: Final answer
x = 48,172.65
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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.