Finding the Fourth Proportional to 107,284, 160,952 and 33,412
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Solution
The fourth proportional to 107,284, 160,952 and 33,412 is: 50,126.10
Step by Step Solution
- Step 1: Write the proportion equation
107,284 : 160,952 = 33,412 : x - Step 2: Convert to fraction form
107,284/160,952 = 33,412/x - Step 3: Cross multiply
107,284x = 160,952 × 33,412 - Step 4: Simplify right side
107,284x = 5,377,728,224 - Step 5: Solve for x
x = 5,377,728,224/107,284 - Step 6: Final answer
x = 50,126.10
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.