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Finding the Fourth Proportional to 30,649.30, 42,295.97 and 17,220.90

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Solution

The fourth proportional to 30,649.30, 42,295.97 and 17,220.90 is: 23,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.30 : 42,295.97 = 17,220.90 : x
  2. Step 2: Convert to fraction form
    30,649.30/42,295.97 = 17,220.90/x
  3. Step 3: Cross multiply
    30,649.30x = 42,295.97 × 17,220.90
  4. Step 4: Simplify right side
    30,649.30x = 728,374,669.77
  5. Step 5: Solve for x
    x = 728,374,669.77/30,649.30
  6. Step 6: Final answer
    x = 23,764.81

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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.