Finding the Fourth Proportional to 106,024.23, 159,032.70 and 27,139.14
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Solution
The fourth proportional to 106,024.23, 159,032.70 and 27,139.14 is: 40,707.78
Step by Step Solution
- Step 1: Write the proportion equation
106,024.23 : 159,032.70 = 27,139.14 : x - Step 2: Convert to fraction form
106,024.23/159,032.70 = 27,139.14/x - Step 3: Cross multiply
106,024.23x = 159,032.70 × 27,139.14 - Step 4: Simplify right side
106,024.23x = 4,316,010,709.88 - Step 5: Solve for x
x = 4,316,010,709.88/106,024.23 - Step 6: Final answer
x = 40,707.78
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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.