Finding the Fourth Proportional to 102,243.96, 153,381.42 and 32,116.68
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Solution
The fourth proportional to 102,243.96, 153,381.42 and 32,116.68 is: 48,179.88
Step by Step Solution
- Step 1: Write the proportion equation
102,243.96 : 153,381.42 = 32,116.68 : x - Step 2: Convert to fraction form
102,243.96/153,381.42 = 32,116.68/x - Step 3: Cross multiply
102,243.96x = 153,381.42 × 32,116.68 - Step 4: Simplify right side
102,243.96x = 4,926,101,984.09 - Step 5: Solve for x
x = 4,926,101,984.09/102,243.96 - Step 6: Final answer
x = 48,179.88
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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.