Finding the Fourth Proportional to 75,843.84, 113,765.28 and 40,800
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Solution
The fourth proportional to 75,843.84, 113,765.28 and 40,800 is: 61,199.74
Step by Step Solution
- Step 1: Write the proportion equation
75,843.84 : 113,765.28 = 40,800 : x - Step 2: Convert to fraction form
75,843.84/113,765.28 = 40,800/x - Step 3: Cross multiply
75,843.84x = 113,765.28 × 40,800 - Step 4: Simplify right side
75,843.84x = 4,641,623,424 - Step 5: Solve for x
x = 4,641,623,424/75,843.84 - Step 6: Final answer
x = 61,199.74
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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.