Finding the Fourth Proportional to 106,902.84, 160,380.18 and 32,022.84
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Solution
The fourth proportional to 106,902.84, 160,380.18 and 32,022.84 is: 48,042.02
Step by Step Solution
- Step 1: Write the proportion equation
106,902.84 : 160,380.18 = 32,022.84 : x - Step 2: Convert to fraction form
106,902.84/160,380.18 = 32,022.84/x - Step 3: Cross multiply
106,902.84x = 160,380.18 × 32,022.84 - Step 4: Simplify right side
106,902.84x = 5,135,828,843.31 - Step 5: Solve for x
x = 5,135,828,843.31/106,902.84 - Step 6: Final answer
x = 48,042.02
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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.