Finding the Fourth Proportional to 110,584.09, 165,876.25 and 27,478.09
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Solution
The fourth proportional to 110,584.09, 165,876.25 and 27,478.09 is: 41,217.16
Step by Step Solution
- Step 1: Write the proportion equation
110,584.09 : 165,876.25 = 27,478.09 : x - Step 2: Convert to fraction form
110,584.09/165,876.25 = 27,478.09/x - Step 3: Cross multiply
110,584.09x = 165,876.25 × 27,478.09 - Step 4: Simplify right side
110,584.09x = 4,557,962,526.36 - Step 5: Solve for x
x = 4,557,962,526.36/110,584.09 - Step 6: Final answer
x = 41,217.16
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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.