Finding the Fourth Proportional to 106,899.24, 160,352.94 and 47,735.40
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Solution
The fourth proportional to 106,899.24, 160,352.94 and 47,735.40 is: 71,604.92
Step by Step Solution
- Step 1: Write the proportion equation
106,899.24 : 160,352.94 = 47,735.40 : x - Step 2: Convert to fraction form
106,899.24/160,352.94 = 47,735.40/x - Step 3: Cross multiply
106,899.24x = 160,352.94 × 47,735.40 - Step 4: Simplify right side
106,899.24x = 7,654,511,732.08 - Step 5: Solve for x
x = 7,654,511,732.08/106,899.24 - Step 6: Final answer
x = 71,604.92
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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.