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Finding the Fourth Proportional to 19,949, 29,923.50 and 5,357

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Solution

The fourth proportional to 19,949, 29,923.50 and 5,357 is: 8,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949 : 29,923.50 = 5,357 : x
  2. Step 2: Convert to fraction form
    19,949/29,923.50 = 5,357/x
  3. Step 3: Cross multiply
    19,949x = 29,923.50 × 5,357
  4. Step 4: Simplify right side
    19,949x = 160,300,189.50
  5. Step 5: Solve for x
    x = 160,300,189.50/19,949
  6. Step 6: Final answer
    x = 8,035.50

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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.