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Finding the Fourth Proportional to 30,649.70, 42,295.41 and 17,221.52

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Solution

The fourth proportional to 30,649.70, 42,295.41 and 17,221.52 is: 23,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.70 : 42,295.41 = 17,221.52 : x
  2. Step 2: Convert to fraction form
    30,649.70/42,295.41 = 17,221.52/x
  3. Step 3: Cross multiply
    30,649.70x = 42,295.41 × 17,221.52
  4. Step 4: Simplify right side
    30,649.70x = 728,391,057.38
  5. Step 5: Solve for x
    x = 728,391,057.38/30,649.70
  6. Step 6: Final answer
    x = 23,765.03

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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.