Finding the Fourth Proportional to 78,117.12, 117,181.16 and 31,370
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Solution
The fourth proportional to 78,117.12, 117,181.16 and 31,370 is: 47,057.20
Step by Step Solution
- Step 1: Write the proportion equation
78,117.12 : 117,181.16 = 31,370 : x - Step 2: Convert to fraction form
78,117.12/117,181.16 = 31,370/x - Step 3: Cross multiply
78,117.12x = 117,181.16 × 31,370 - Step 4: Simplify right side
78,117.12x = 3,675,972,989.20 - Step 5: Solve for x
x = 3,675,972,989.20/78,117.12 - Step 6: Final answer
x = 47,057.20
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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.