Finding the Fourth Proportional to 120,665.60, 180,991.92 and 31,922
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Solution
The fourth proportional to 120,665.60, 180,991.92 and 31,922 is: 47,881.29
Step by Step Solution
- Step 1: Write the proportion equation
120,665.60 : 180,991.92 = 31,922 : x - Step 2: Convert to fraction form
120,665.60/180,991.92 = 31,922/x - Step 3: Cross multiply
120,665.60x = 180,991.92 × 31,922 - Step 4: Simplify right side
120,665.60x = 5,777,624,070.24 - Step 5: Solve for x
x = 5,777,624,070.24/120,665.60 - Step 6: Final answer
x = 47,881.29
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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.