Finding the Fourth Proportional to 46,638.40, 69,931.94 and 31,864
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Solution
The fourth proportional to 46,638.40, 69,931.94 and 31,864 is: 47,778.47
Step by Step Solution
- Step 1: Write the proportion equation
46,638.40 : 69,931.94 = 31,864 : x - Step 2: Convert to fraction form
46,638.40/69,931.94 = 31,864/x - Step 3: Cross multiply
46,638.40x = 69,931.94 × 31,864 - Step 4: Simplify right side
46,638.40x = 2,228,311,336.16 - Step 5: Solve for x
x = 2,228,311,336.16/46,638.40 - Step 6: Final answer
x = 47,778.47
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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.