Finding the Fourth Proportional to 110,102.24, 165,153.36 and 31,206.21
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Solution
The fourth proportional to 110,102.24, 165,153.36 and 31,206.21 is: 46,809.32
Step by Step Solution
- Step 1: Write the proportion equation
110,102.24 : 165,153.36 = 31,206.21 : x - Step 2: Convert to fraction form
110,102.24/165,153.36 = 31,206.21/x - Step 3: Cross multiply
110,102.24x = 165,153.36 × 31,206.21 - Step 4: Simplify right side
110,102.24x = 5,153,810,597.75 - Step 5: Solve for x
x = 5,153,810,597.75/110,102.24 - Step 6: Final answer
x = 46,809.32
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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.