Finding the Fourth Proportional to 102,414.24, 153,621.36 and 32,299.02
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Solution
The fourth proportional to 102,414.24, 153,621.36 and 32,299.02 is: 48,448.53
Step by Step Solution
- Step 1: Write the proportion equation
102,414.24 : 153,621.36 = 32,299.02 : x - Step 2: Convert to fraction form
102,414.24/153,621.36 = 32,299.02/x - Step 3: Cross multiply
102,414.24x = 153,621.36 × 32,299.02 - Step 4: Simplify right side
102,414.24x = 4,961,819,379.07 - Step 5: Solve for x
x = 4,961,819,379.07/102,414.24 - Step 6: Final answer
x = 48,448.53
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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.