Finding the Fourth Proportional to 97,543.84, 146,299.14 and 27,406.75
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Solution
The fourth proportional to 97,543.84, 146,299.14 and 27,406.75 is: 41,105.46
Step by Step Solution
- Step 1: Write the proportion equation
97,543.84 : 146,299.14 = 27,406.75 : x - Step 2: Convert to fraction form
97,543.84/146,299.14 = 27,406.75/x - Step 3: Cross multiply
97,543.84x = 146,299.14 × 27,406.75 - Step 4: Simplify right side
97,543.84x = 4,009,583,955.20 - Step 5: Solve for x
x = 4,009,583,955.20/97,543.84 - Step 6: Final answer
x = 41,105.46
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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.