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Finding the Fourth Proportional to 30,649.40, 42,293.58 and 17,219.60

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Solution

The fourth proportional to 30,649.40, 42,293.58 and 17,219.60 is: 23,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.40 : 42,293.58 = 17,219.60 : x
  2. Step 2: Convert to fraction form
    30,649.40/42,293.58 = 17,219.60/x
  3. Step 3: Cross multiply
    30,649.40x = 42,293.58 × 17,219.60
  4. Step 4: Simplify right side
    30,649.40x = 728,278,530.17
  5. Step 5: Solve for x
    x = 728,278,530.17/30,649.40
  6. Step 6: Final answer
    x = 23,761.59

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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.