Finding the Fourth Proportional to 20,872.70, 31,309.12 and 6,082
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Solution
The fourth proportional to 20,872.70, 31,309.12 and 6,082 is: 9,123.02
Step by Step Solution
- Step 1: Write the proportion equation
20,872.70 : 31,309.12 = 6,082 : x - Step 2: Convert to fraction form
20,872.70/31,309.12 = 6,082/x - Step 3: Cross multiply
20,872.70x = 31,309.12 × 6,082 - Step 4: Simplify right side
20,872.70x = 190,422,067.84 - Step 5: Solve for x
x = 190,422,067.84/20,872.70 - Step 6: Final answer
x = 9,123.02
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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.