Finding the Fourth Proportional to 106,284.23, 159,317.00 and 47,147.75
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Solution
The fourth proportional to 106,284.23, 159,317.00 and 47,147.75 is: 70,673.12
Step by Step Solution
- Step 1: Write the proportion equation
106,284.23 : 159,317.00 = 47,147.75 : x - Step 2: Convert to fraction form
106,284.23/159,317.00 = 47,147.75/x - Step 3: Cross multiply
106,284.23x = 159,317.00 × 47,147.75 - Step 4: Simplify right side
106,284.23x = 7,511,437,851.01 - Step 5: Solve for x
x = 7,511,437,851.01/106,284.23 - Step 6: Final answer
x = 70,673.12
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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.