Finding the Fourth Proportional to 82,842.41, 114,325.76 and 47,035.75
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Solution
The fourth proportional to 82,842.41, 114,325.76 and 47,035.75 is: 64,911.17
Step by Step Solution
- Step 1: Write the proportion equation
82,842.41 : 114,325.76 = 47,035.75 : x - Step 2: Convert to fraction form
82,842.41/114,325.76 = 47,035.75/x - Step 3: Cross multiply
82,842.41x = 114,325.76 × 47,035.75 - Step 4: Simplify right side
82,842.41x = 5,377,397,807.13 - Step 5: Solve for x
x = 5,377,397,807.13/82,842.41 - Step 6: Final answer
x = 64,911.17
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.