Finding the Fourth Proportional to 106,107,963.68, 159,161,932.02 and 29,430,991.46
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Solution
The fourth proportional to 106,107,963.68, 159,161,932.02 and 29,430,991.46 is: 44,146,483.45
Step by Step Solution
- Step 1: Write the proportion equation
106,107,963.68 : 159,161,932.02 = 29,430,991.46 : x - Step 2: Convert to fraction form
106,107,963.68/159,161,932.02 = 29,430,991.46/x - Step 3: Cross multiply
106,107,963.68x = 159,161,932.02 × 29,430,991.46 - Step 4: Simplify right side
106,107,963.68x = 4,684,293,462,037,721 - Step 5: Solve for x
x = 4,684,293,462,037,721/106,107,963.68 - Step 6: Final answer
x = 44,146,483.45
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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.