Finding the Fourth Proportional to 82,360,973.80, 113,610,922.14 and 51,367,334.68
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Solution
The fourth proportional to 82,360,973.80, 113,610,922.14 and 51,367,334.68 is: 70,857,470.37
Step by Step Solution
- Step 1: Write the proportion equation
82,360,973.80 : 113,610,922.14 = 51,367,334.68 : x - Step 2: Convert to fraction form
82,360,973.80/113,610,922.14 = 51,367,334.68/x - Step 3: Cross multiply
82,360,973.80x = 113,610,922.14 × 51,367,334.68 - Step 4: Simplify right side
82,360,973.80x = 5,835,890,260,868,802 - Step 5: Solve for x
x = 5,835,890,260,868,802/82,360,973.80 - Step 6: Final answer
x = 70,857,470.37
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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.