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Finding the Fourth Proportional to 19,750, 29,629.86 and 5,899

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Solution

The fourth proportional to 19,750, 29,629.86 and 5,899 is: 8,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,750 : 29,629.86 = 5,899 : x
  2. Step 2: Convert to fraction form
    19,750/29,629.86 = 5,899/x
  3. Step 3: Cross multiply
    19,750x = 29,629.86 × 5,899
  4. Step 4: Simplify right side
    19,750x = 174,786,544.14
  5. Step 5: Solve for x
    x = 174,786,544.14/19,750
  6. Step 6: Final answer
    x = 8,849.95

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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.