Finding the Fourth Proportional to 106,107,949.68, 159,161,910.96 and 29,430,977.52
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Solution
The fourth proportional to 106,107,949.68, 159,161,910.96 and 29,430,977.52 is: 44,146,462.52
Step by Step Solution
- Step 1: Write the proportion equation
106,107,949.68 : 159,161,910.96 = 29,430,977.52 : x - Step 2: Convert to fraction form
106,107,949.68/159,161,910.96 = 29,430,977.52/x - Step 3: Cross multiply
106,107,949.68x = 159,161,910.96 × 29,430,977.52 - Step 4: Simplify right side
106,107,949.68x = 4,684,290,623,504,002 - Step 5: Solve for x
x = 4,684,290,623,504,002/106,107,949.68 - Step 6: Final answer
x = 44,146,462.52
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.