Finding the Fourth Proportional to 70,531.42, 105,772.52 and 31,067
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Solution
The fourth proportional to 70,531.42, 105,772.52 and 31,067 is: 46,589.66
Step by Step Solution
- Step 1: Write the proportion equation
70,531.42 : 105,772.52 = 31,067 : x - Step 2: Convert to fraction form
70,531.42/105,772.52 = 31,067/x - Step 3: Cross multiply
70,531.42x = 105,772.52 × 31,067 - Step 4: Simplify right side
70,531.42x = 3,286,034,878.84 - Step 5: Solve for x
x = 3,286,034,878.84/70,531.42 - Step 6: Final answer
x = 46,589.66
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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.