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Finding the Fourth Proportional to 75,469.69, 104,145.97 and 43,203.22

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Solution

The fourth proportional to 75,469.69, 104,145.97 and 43,203.22 is: 59,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,469.69 : 104,145.97 = 43,203.22 : x
  2. Step 2: Convert to fraction form
    75,469.69/104,145.97 = 43,203.22/x
  3. Step 3: Cross multiply
    75,469.69x = 104,145.97 × 43,203.22
  4. Step 4: Simplify right side
    75,469.69x = 4,499,441,031.03
  5. Step 5: Solve for x
    x = 4,499,441,031.03/75,469.69
  6. Step 6: Final answer
    x = 59,619.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.