Finding the Fourth Proportional to 102,065.70, 153,097.47 and 31,945.62
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Solution
The fourth proportional to 102,065.70, 153,097.47 and 31,945.62 is: 47,918.09
Step by Step Solution
- Step 1: Write the proportion equation
102,065.70 : 153,097.47 = 31,945.62 : x - Step 2: Convert to fraction form
102,065.70/153,097.47 = 31,945.62/x - Step 3: Cross multiply
102,065.70x = 153,097.47 × 31,945.62 - Step 4: Simplify right side
102,065.70x = 4,890,793,599.58 - Step 5: Solve for x
x = 4,890,793,599.58/102,065.70 - Step 6: Final answer
x = 47,918.09
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1.5x scale
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.