Finding the Fourth Proportional to 31,214.38, 46,822.94 and 9,030
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Solution
The fourth proportional to 31,214.38, 46,822.94 and 9,030 is: 13,545.40
Step by Step Solution
- Step 1: Write the proportion equation
31,214.38 : 46,822.94 = 9,030 : x - Step 2: Convert to fraction form
31,214.38/46,822.94 = 9,030/x - Step 3: Cross multiply
31,214.38x = 46,822.94 × 9,030 - Step 4: Simplify right side
31,214.38x = 422,811,148.20 - Step 5: Solve for x
x = 422,811,148.20/31,214.38 - Step 6: Final answer
x = 13,545.40
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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.