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Finding the Fourth Proportional to 41,661.99, 62,480.11 and 12,082

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Solution

The fourth proportional to 41,661.99, 62,480.11 and 12,082 is: 18,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,661.99 : 62,480.11 = 12,082 : x
  2. Step 2: Convert to fraction form
    41,661.99/62,480.11 = 12,082/x
  3. Step 3: Cross multiply
    41,661.99x = 62,480.11 × 12,082
  4. Step 4: Simplify right side
    41,661.99x = 754,884,689.02
  5. Step 5: Solve for x
    x = 754,884,689.02/41,661.99
  6. Step 6: Final answer
    x = 18,119.27

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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.