Finding the Fourth Proportional to 106,097.76, 159,134.76 and 27,213.84
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Solution
The fourth proportional to 106,097.76, 159,134.76 and 27,213.84 is: 40,817.71
Step by Step Solution
- Step 1: Write the proportion equation
106,097.76 : 159,134.76 = 27,213.84 : x - Step 2: Convert to fraction form
106,097.76/159,134.76 = 27,213.84/x - Step 3: Cross multiply
106,097.76x = 159,134.76 × 27,213.84 - Step 4: Simplify right side
106,097.76x = 4,330,667,897.08 - Step 5: Solve for x
x = 4,330,667,897.08/106,097.76 - Step 6: Final answer
x = 40,817.71
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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.