Finding the Fourth Proportional to 31,649,923.26, 47,474,366.10 and 10,084,231.98
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Solution
The fourth proportional to 31,649,923.26, 47,474,366.10 and 10,084,231.98 is: 15,126,182.67
Step by Step Solution
- Step 1: Write the proportion equation
31,649,923.26 : 47,474,366.10 = 10,084,231.98 : x - Step 2: Convert to fraction form
31,649,923.26/47,474,366.10 = 10,084,231.98/x - Step 3: Cross multiply
31,649,923.26x = 47,474,366.10 × 10,084,231.98 - Step 4: Simplify right side
31,649,923.26x = 478,742,520,855,847.94 - Step 5: Solve for x
x = 478,742,520,855,847.94/31,649,923.26 - Step 6: Final answer
x = 15,126,182.67
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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.