Finding the Fourth Proportional to 75,682.16, 104,437.32 and 42,146
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Solution
The fourth proportional to 75,682.16, 104,437.32 and 42,146 is: 58,159.22
Step by Step Solution
- Step 1: Write the proportion equation
75,682.16 : 104,437.32 = 42,146 : x - Step 2: Convert to fraction form
75,682.16/104,437.32 = 42,146/x - Step 3: Cross multiply
75,682.16x = 104,437.32 × 42,146 - Step 4: Simplify right side
75,682.16x = 4,401,615,288.72 - Step 5: Solve for x
x = 4,401,615,288.72/75,682.16 - Step 6: Final answer
x = 58,159.22
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.