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Finding the Fourth Proportional to 30,649.45, 42,295.06 and 17,221.27

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Solution

The fourth proportional to 30,649.45, 42,295.06 and 17,221.27 is: 23,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.45 : 42,295.06 = 17,221.27 : x
  2. Step 2: Convert to fraction form
    30,649.45/42,295.06 = 17,221.27/x
  3. Step 3: Cross multiply
    30,649.45x = 42,295.06 × 17,221.27
  4. Step 4: Simplify right side
    30,649.45x = 728,374,542.19
  5. Step 5: Solve for x
    x = 728,374,542.19/30,649.45
  6. Step 6: Final answer
    x = 23,764.69

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