Finding the Fourth Proportional to 106,222.74, 159,342.30 and 27,337.74
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Solution
The fourth proportional to 106,222.74, 159,342.30 and 27,337.74 is: 41,008.72
Step by Step Solution
- Step 1: Write the proportion equation
106,222.74 : 159,342.30 = 27,337.74 : x - Step 2: Convert to fraction form
106,222.74/159,342.30 = 27,337.74/x - Step 3: Cross multiply
106,222.74x = 159,342.30 × 27,337.74 - Step 4: Simplify right side
106,222.74x = 4,356,058,368.40 - Step 5: Solve for x
x = 4,356,058,368.40/106,222.74 - Step 6: Final answer
x = 41,008.72
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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.