Finding the Fourth Proportional to 97,670.27, 146,527.50 and 31,114.19
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Solution
The fourth proportional to 97,670.27, 146,527.50 and 31,114.19 is: 46,678.32
Step by Step Solution
- Step 1: Write the proportion equation
97,670.27 : 146,527.50 = 31,114.19 : x - Step 2: Convert to fraction form
97,670.27/146,527.50 = 31,114.19/x - Step 3: Cross multiply
97,670.27x = 146,527.50 × 31,114.19 - Step 4: Simplify right side
97,670.27x = 4,559,084,475.23 - Step 5: Solve for x
x = 4,559,084,475.23/97,670.27 - Step 6: Final answer
x = 46,678.32
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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.