Finding the Fourth Proportional to 76,642.12, 114,766.35 and 46,970
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Solution
The fourth proportional to 76,642.12, 114,766.35 and 46,970 is: 70,334.37
Step by Step Solution
- Step 1: Write the proportion equation
76,642.12 : 114,766.35 = 46,970 : x - Step 2: Convert to fraction form
76,642.12/114,766.35 = 46,970/x - Step 3: Cross multiply
76,642.12x = 114,766.35 × 46,970 - Step 4: Simplify right side
76,642.12x = 5,390,575,459.50 - Step 5: Solve for x
x = 5,390,575,459.50/76,642.12 - Step 6: Final answer
x = 70,334.37
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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.