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Finding the Fourth Proportional to 30,671.64, 42,323.04 and 17,241.30

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Solution

The fourth proportional to 30,671.64, 42,323.04 and 17,241.30 is: 23,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.64 : 42,323.04 = 17,241.30 : x
  2. Step 2: Convert to fraction form
    30,671.64/42,323.04 = 17,241.30/x
  3. Step 3: Cross multiply
    30,671.64x = 42,323.04 × 17,241.30
  4. Step 4: Simplify right side
    30,671.64x = 729,704,229.55
  5. Step 5: Solve for x
    x = 729,704,229.55/30,671.64
  6. Step 6: Final answer
    x = 23,790.84

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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.