Finding the Fourth Proportional to 97,542.84, 146,297.64 and 27,405.75
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Solution
The fourth proportional to 97,542.84, 146,297.64 and 27,405.75 is: 41,103.96
Step by Step Solution
- Step 1: Write the proportion equation
97,542.84 : 146,297.64 = 27,405.75 : x - Step 2: Convert to fraction form
97,542.84/146,297.64 = 27,405.75/x - Step 3: Cross multiply
97,542.84x = 146,297.64 × 27,405.75 - Step 4: Simplify right side
97,542.84x = 4,009,396,547.43 - Step 5: Solve for x
x = 4,009,396,547.43/97,542.84 - Step 6: Final answer
x = 41,103.96
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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.