Finding the Fourth Proportional to 105,493.28, 158,222.64 and 31,604
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Solution
The fourth proportional to 105,493.28, 158,222.64 and 31,604 is: 47,400.82
Step by Step Solution
- Step 1: Write the proportion equation
105,493.28 : 158,222.64 = 31,604 : x - Step 2: Convert to fraction form
105,493.28/158,222.64 = 31,604/x - Step 3: Cross multiply
105,493.28x = 158,222.64 × 31,604 - Step 4: Simplify right side
105,493.28x = 5,000,468,314.56 - Step 5: Solve for x
x = 5,000,468,314.56/105,493.28 - Step 6: Final answer
x = 47,400.82
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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.