Finding the Fourth Proportional to 97,682.24, 146,515.26 and 31,119.68
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Solution
The fourth proportional to 97,682.24, 146,515.26 and 31,119.68 is: 46,676.94
Step by Step Solution
- Step 1: Write the proportion equation
97,682.24 : 146,515.26 = 31,119.68 : x - Step 2: Convert to fraction form
97,682.24/146,515.26 = 31,119.68/x - Step 3: Cross multiply
97,682.24x = 146,515.26 × 31,119.68 - Step 4: Simplify right side
97,682.24x = 4,559,508,006.32 - Step 5: Solve for x
x = 4,559,508,006.32/97,682.24 - Step 6: Final answer
x = 46,676.94
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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.