Finding the Fourth Proportional to 76,204.88, 105,214.09 and 47,568.14
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Solution
The fourth proportional to 76,204.88, 105,214.09 and 47,568.14 is: 65,676.09
Step by Step Solution
- Step 1: Write the proportion equation
76,204.88 : 105,214.09 = 47,568.14 : x - Step 2: Convert to fraction form
76,204.88/105,214.09 = 47,568.14/x - Step 3: Cross multiply
76,204.88x = 105,214.09 × 47,568.14 - Step 4: Simplify right side
76,204.88x = 5,004,838,707.21 - Step 5: Solve for x
x = 5,004,838,707.21/76,204.88 - Step 6: Final answer
x = 65,676.09
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.