Finding the Fourth Proportional to 31,718, 47,577 and 9,830
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Solution
The fourth proportional to 31,718, 47,577 and 9,830 is: 14,745
Step by Step Solution
- Step 1: Write the proportion equation
31,718 : 47,577 = 9,830 : x - Step 2: Convert to fraction form
31,718/47,577 = 9,830/x - Step 3: Cross multiply
31,718x = 47,577 × 9,830 - Step 4: Simplify right side
31,718x = 467,681,910 - Step 5: Solve for x
x = 467,681,910/31,718 - Step 6: Final answer
x = 14,745
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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.