Finding the Fourth Proportional to 106,226.28, 159,349.14 and 27,340.74
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Solution
The fourth proportional to 106,226.28, 159,349.14 and 27,340.74 is: 41,013.61
Step by Step Solution
- Step 1: Write the proportion equation
106,226.28 : 159,349.14 = 27,340.74 : x - Step 2: Convert to fraction form
106,226.28/159,349.14 = 27,340.74/x - Step 3: Cross multiply
106,226.28x = 159,349.14 × 27,340.74 - Step 4: Simplify right side
106,226.28x = 4,356,723,405.96 - Step 5: Solve for x
x = 4,356,723,405.96/106,226.28 - Step 6: Final answer
x = 41,013.61
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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.