Finding the Fourth Proportional to 70,631.94, 105,919.74 and 31,161
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Solution
The fourth proportional to 70,631.94, 105,919.74 and 31,161 is: 46,729.07
Step by Step Solution
- Step 1: Write the proportion equation
70,631.94 : 105,919.74 = 31,161 : x - Step 2: Convert to fraction form
70,631.94/105,919.74 = 31,161/x - Step 3: Cross multiply
70,631.94x = 105,919.74 × 31,161 - Step 4: Simplify right side
70,631.94x = 3,300,565,018.14 - Step 5: Solve for x
x = 3,300,565,018.14/70,631.94 - Step 6: Final answer
x = 46,729.07
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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.