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Finding the Fourth Proportional to 49,873.92, 74,769.48 and 20,305.68

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Solution

The fourth proportional to 49,873.92, 74,769.48 and 20,305.68 is: 30,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,873.92 : 74,769.48 = 20,305.68 : x
  2. Step 2: Convert to fraction form
    49,873.92/74,769.48 = 20,305.68/x
  3. Step 3: Cross multiply
    49,873.92x = 74,769.48 × 20,305.68
  4. Step 4: Simplify right side
    49,873.92x = 1,518,245,134.65
  5. Step 5: Solve for x
    x = 1,518,245,134.65/49,873.92
  6. Step 6: Final answer
    x = 30,441.66

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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.