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Finding the Fourth Proportional to 75,797.69, 113,696.91 and 19,633.86

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Solution

The fourth proportional to 75,797.69, 113,696.91 and 19,633.86 is: 29,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,797.69 : 113,696.91 = 19,633.86 : x
  2. Step 2: Convert to fraction form
    75,797.69/113,696.91 = 19,633.86/x
  3. Step 3: Cross multiply
    75,797.69x = 113,696.91 × 19,633.86
  4. Step 4: Simplify right side
    75,797.69x = 2,232,309,213.37
  5. Step 5: Solve for x
    x = 2,232,309,213.37/75,797.69
  6. Step 6: Final answer
    x = 29,450.89

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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.