Finding the Fourth Proportional to 75,446,537.74, 113,213,724.31 and 31,724,132.15
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Solution
The fourth proportional to 75,446,537.74, 113,213,724.31 and 31,724,132.15 is: 47,604,664.96
Step by Step Solution
- Step 1: Write the proportion equation
75,446,537.74 : 113,213,724.31 = 31,724,132.15 : x - Step 2: Convert to fraction form
75,446,537.74/113,213,724.31 = 31,724,132.15/x - Step 3: Cross multiply
75,446,537.74x = 113,213,724.31 × 31,724,132.15 - Step 4: Simplify right side
75,446,537.74x = 3,591,607,151,407,831.50 - Step 5: Solve for x
x = 3,591,607,151,407,831.50/75,446,537.74 - Step 6: Final answer
x = 47,604,664.96
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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.