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Finding the Fourth Proportional to 41,663.99, 62,483.11 and 12,084

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Solution

The fourth proportional to 41,663.99, 62,483.11 and 12,084 is: 18,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,663.99 : 62,483.11 = 12,084 : x
  2. Step 2: Convert to fraction form
    41,663.99/62,483.11 = 12,084/x
  3. Step 3: Cross multiply
    41,663.99x = 62,483.11 × 12,084
  4. Step 4: Simplify right side
    41,663.99x = 755,045,901.24
  5. Step 5: Solve for x
    x = 755,045,901.24/41,663.99
  6. Step 6: Final answer
    x = 18,122.27

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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.