Finding the Fourth Proportional to 77,105,934.06, 106,405,569.09 and 41,823,651.42
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Solution
The fourth proportional to 77,105,934.06, 106,405,569.09 and 41,823,651.42 is: 57,716,302.71
Step by Step Solution
- Step 1: Write the proportion equation
77,105,934.06 : 106,405,569.09 = 41,823,651.42 : x - Step 2: Convert to fraction form
77,105,934.06/106,405,569.09 = 41,823,651.42/x - Step 3: Cross multiply
77,105,934.06x = 106,405,569.09 × 41,823,651.42 - Step 4: Simplify right side
77,105,934.06x = 4,450,269,430,766,887 - Step 5: Solve for x
x = 4,450,269,430,766,887/77,105,934.06 - Step 6: Final answer
x = 57,716,302.71
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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.