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Finding the Fourth Proportional to 49,164.92, 73,754.68 and 15,873.92

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Solution

The fourth proportional to 49,164.92, 73,754.68 and 15,873.92 is: 23,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164.92 : 73,754.68 = 15,873.92 : x
  2. Step 2: Convert to fraction form
    49,164.92/73,754.68 = 15,873.92/x
  3. Step 3: Cross multiply
    49,164.92x = 73,754.68 × 15,873.92
  4. Step 4: Simplify right side
    49,164.92x = 1,170,775,889.95
  5. Step 5: Solve for x
    x = 1,170,775,889.95/49,164.92
  6. Step 6: Final answer
    x = 23,813.24

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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.