Finding the Fourth Proportional to 82,746,508.53, 114,190,176.36 and 47,959,377.13
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Solution
The fourth proportional to 82,746,508.53, 114,190,176.36 and 47,959,377.13 is: 66,183,937.30
Step by Step Solution
- Step 1: Write the proportion equation
82,746,508.53 : 114,190,176.36 = 47,959,377.13 : x - Step 2: Convert to fraction form
82,746,508.53/114,190,176.36 = 47,959,377.13/x - Step 3: Cross multiply
82,746,508.53x = 114,190,176.36 × 47,959,377.13 - Step 4: Simplify right side
82,746,508.53x = 5,476,489,732,270,716 - Step 5: Solve for x
x = 5,476,489,732,270,716/82,746,508.53 - Step 6: Final answer
x = 66,183,937.30
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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.