Finding the Fourth Proportional to 82,777,135.86, 114,235,971.57 and 46,107,723.06
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Solution
The fourth proportional to 82,777,135.86, 114,235,971.57 and 46,107,723.06 is: 63,630,620.77
Step by Step Solution
- Step 1: Write the proportion equation
82,777,135.86 : 114,235,971.57 = 46,107,723.06 : x - Step 2: Convert to fraction form
82,777,135.86/114,235,971.57 = 46,107,723.06/x - Step 3: Cross multiply
82,777,135.86x = 114,235,971.57 × 46,107,723.06 - Step 4: Simplify right side
82,777,135.86x = 5,267,160,540,639,593 - Step 5: Solve for x
x = 5,267,160,540,639,593/82,777,135.86 - Step 6: Final answer
x = 63,630,620.77
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.