Finding the Fourth Proportional to 96,993,906.48, 145,514,024.16 and 32,298,272.07
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Solution
The fourth proportional to 96,993,906.48, 145,514,024.16 and 32,298,272.07 is: 48,455,121.70
Step by Step Solution
- Step 1: Write the proportion equation
96,993,906.48 : 145,514,024.16 = 32,298,272.07 : x - Step 2: Convert to fraction form
96,993,906.48/145,514,024.16 = 32,298,272.07/x - Step 3: Cross multiply
96,993,906.48x = 145,514,024.16 × 32,298,272.07 - Step 4: Simplify right side
96,993,906.48x = 4,699,851,542,320,233 - Step 5: Solve for x
x = 4,699,851,542,320,233/96,993,906.48 - Step 6: Final answer
x = 48,455,121.70
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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.