Finding the Fourth Proportional to 105,816, 158,724 and 31,944
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Solution
The fourth proportional to 105,816, 158,724 and 31,944 is: 47,916
Step by Step Solution
- Step 1: Write the proportion equation
105,816 : 158,724 = 31,944 : x - Step 2: Convert to fraction form
105,816/158,724 = 31,944/x - Step 3: Cross multiply
105,816x = 158,724 × 31,944 - Step 4: Simplify right side
105,816x = 5,070,279,456 - Step 5: Solve for x
x = 5,070,279,456/105,816 - Step 6: Final answer
x = 47,916
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.