Finding the Fourth Proportional to 83,214.75, 114,834.20 and 49,224.99
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Solution
The fourth proportional to 83,214.75, 114,834.20 and 49,224.99 is: 67,929.21
Step by Step Solution
- Step 1: Write the proportion equation
83,214.75 : 114,834.20 = 49,224.99 : x - Step 2: Convert to fraction form
83,214.75/114,834.20 = 49,224.99/x - Step 3: Cross multiply
83,214.75x = 114,834.20 × 49,224.99 - Step 4: Simplify right side
83,214.75x = 5,652,712,100.53 - Step 5: Solve for x
x = 5,652,712,100.53/83,214.75 - Step 6: Final answer
x = 67,929.21
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.