Finding the Fourth Proportional to 75,826.84, 113,762.12 and 23,244.08
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Solution
The fourth proportional to 75,826.84, 113,762.12 and 23,244.08 is: 34,872.82
Step by Step Solution
- Step 1: Write the proportion equation
75,826.84 : 113,762.12 = 23,244.08 : x - Step 2: Convert to fraction form
75,826.84/113,762.12 = 23,244.08/x - Step 3: Cross multiply
75,826.84x = 113,762.12 × 23,244.08 - Step 4: Simplify right side
75,826.84x = 2,644,295,818.25 - Step 5: Solve for x
x = 2,644,295,818.25/75,826.84 - Step 6: Final answer
x = 34,872.82
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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.