Finding the Fourth Proportional to 106,665, 160,023.42 and 32,793
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Solution
The fourth proportional to 106,665, 160,023.42 and 32,793 is: 49,197.47
Step by Step Solution
- Step 1: Write the proportion equation
106,665 : 160,023.42 = 32,793 : x - Step 2: Convert to fraction form
106,665/160,023.42 = 32,793/x - Step 3: Cross multiply
106,665x = 160,023.42 × 32,793 - Step 4: Simplify right side
106,665x = 5,247,648,012.06 - Step 5: Solve for x
x = 5,247,648,012.06/106,665 - Step 6: Final answer
x = 49,197.47
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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.