Finding the Fourth Proportional to 90,343.82, 135,537.26 and 31,180
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Solution
The fourth proportional to 90,343.82, 135,537.26 and 31,180 is: 46,777.43
Step by Step Solution
- Step 1: Write the proportion equation
90,343.82 : 135,537.26 = 31,180 : x - Step 2: Convert to fraction form
90,343.82/135,537.26 = 31,180/x - Step 3: Cross multiply
90,343.82x = 135,537.26 × 31,180 - Step 4: Simplify right side
90,343.82x = 4,226,051,766.80 - Step 5: Solve for x
x = 4,226,051,766.80/90,343.82 - Step 6: Final answer
x = 46,777.43
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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.