Finding the Fourth Proportional to 97,990.74, 146,986.92 and 31,431
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Solution
The fourth proportional to 97,990.74, 146,986.92 and 31,431 is: 47,146.76
Step by Step Solution
- Step 1: Write the proportion equation
97,990.74 : 146,986.92 = 31,431 : x - Step 2: Convert to fraction form
97,990.74/146,986.92 = 31,431/x - Step 3: Cross multiply
97,990.74x = 146,986.92 × 31,431 - Step 4: Simplify right side
97,990.74x = 4,619,945,882.52 - Step 5: Solve for x
x = 4,619,945,882.52/97,990.74 - Step 6: Final answer
x = 47,146.76
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.