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Finding the Fourth Proportional to 49,400.99, 74,101.67 and 11,961

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Solution

The fourth proportional to 49,400.99, 74,101.67 and 11,961 is: 17,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,400.99 : 74,101.67 = 11,961 : x
  2. Step 2: Convert to fraction form
    49,400.99/74,101.67 = 11,961/x
  3. Step 3: Cross multiply
    49,400.99x = 74,101.67 × 11,961
  4. Step 4: Simplify right side
    49,400.99x = 886,330,059.92
  5. Step 5: Solve for x
    x = 886,330,059.92/49,400.99
  6. Step 6: Final answer
    x = 17,941.54

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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.