Finding the Fourth Proportional to 106,683.42, 160,034.31 and 27,797.70
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Solution
The fourth proportional to 106,683.42, 160,034.31 and 27,797.70 is: 41,698.94
Step by Step Solution
- Step 1: Write the proportion equation
106,683.42 : 160,034.31 = 27,797.70 : x - Step 2: Convert to fraction form
106,683.42/160,034.31 = 27,797.70/x - Step 3: Cross multiply
106,683.42x = 160,034.31 × 27,797.70 - Step 4: Simplify right side
106,683.42x = 4,448,585,739.09 - Step 5: Solve for x
x = 4,448,585,739.09/106,683.42 - Step 6: Final answer
x = 41,698.94
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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.