Finding the Fourth Proportional to 31,773.42, 47,651.00 and 12,798
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Solution
The fourth proportional to 31,773.42, 47,651.00 and 12,798 is: 19,193.32
Step by Step Solution
- Step 1: Write the proportion equation
31,773.42 : 47,651.00 = 12,798 : x - Step 2: Convert to fraction form
31,773.42/47,651.00 = 12,798/x - Step 3: Cross multiply
31,773.42x = 47,651.00 × 12,798 - Step 4: Simplify right side
31,773.42x = 609,837,434.01 - Step 5: Solve for x
x = 609,837,434.01/31,773.42 - Step 6: Final answer
x = 19,193.32
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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.