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Finding the Fourth Proportional to 49,472.65, 74,201.80 and 16,194.04

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Solution

The fourth proportional to 49,472.65, 74,201.80 and 16,194.04 is: 24,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472.65 : 74,201.80 = 16,194.04 : x
  2. Step 2: Convert to fraction form
    49,472.65/74,201.80 = 16,194.04/x
  3. Step 3: Cross multiply
    49,472.65x = 74,201.80 × 16,194.04
  4. Step 4: Simplify right side
    49,472.65x = 1,201,626,917.27
  5. Step 5: Solve for x
    x = 1,201,626,917.27/49,472.65
  6. Step 6: Final answer
    x = 24,288.71

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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.