Finding the Fourth Proportional to 97,677.24, 146,507.76 and 31,114.68
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Solution
The fourth proportional to 97,677.24, 146,507.76 and 31,114.68 is: 46,669.44
Step by Step Solution
- Step 1: Write the proportion equation
97,677.24 : 146,507.76 = 31,114.68 : x - Step 2: Convert to fraction form
97,677.24/146,507.76 = 31,114.68/x - Step 3: Cross multiply
97,677.24x = 146,507.76 × 31,114.68 - Step 4: Simplify right side
97,677.24x = 4,558,542,069.92 - Step 5: Solve for x
x = 4,558,542,069.92/97,677.24 - Step 6: Final answer
x = 46,669.44
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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.