Finding the Fourth Proportional to 97,231.63, 145,847.44 and 31,567.63
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Solution
The fourth proportional to 97,231.63, 145,847.44 and 31,567.63 is: 47,351.44
Step by Step Solution
- Step 1: Write the proportion equation
97,231.63 : 145,847.44 = 31,567.63 : x - Step 2: Convert to fraction form
97,231.63/145,847.44 = 31,567.63/x - Step 3: Cross multiply
97,231.63x = 145,847.44 × 31,567.63 - Step 4: Simplify right side
97,231.63x = 4,604,057,214.21 - Step 5: Solve for x
x = 4,604,057,214.21/97,231.63 - Step 6: Final answer
x = 47,351.44
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1.5x scale
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.