Finding the Fourth Proportional to 31,104,101.70, 46,656,152.55 and 27,702,879.30
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Solution
The fourth proportional to 31,104,101.70, 46,656,152.55 and 27,702,879.30 is: 41,554,318.95
Step by Step Solution
- Step 1: Write the proportion equation
31,104,101.70 : 46,656,152.55 = 27,702,879.30 : x - Step 2: Convert to fraction form
31,104,101.70/46,656,152.55 = 27,702,879.30/x - Step 3: Cross multiply
31,104,101.70x = 46,656,152.55 × 27,702,879.30 - Step 4: Simplify right side
31,104,101.70x = 1,292,509,762,695,037.25 - Step 5: Solve for x
x = 1,292,509,762,695,037.25/31,104,101.70 - Step 6: Final answer
x = 41,554,318.95
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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.