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Finding the Fourth Proportional to 30,200.94, 41,671.08 and 17,449.56

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Solution

The fourth proportional to 30,200.94, 41,671.08 and 17,449.56 is: 24,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.94 : 41,671.08 = 17,449.56 : x
  2. Step 2: Convert to fraction form
    30,200.94/41,671.08 = 17,449.56/x
  3. Step 3: Cross multiply
    30,200.94x = 41,671.08 × 17,449.56
  4. Step 4: Simplify right side
    30,200.94x = 727,142,010.72
  5. Step 5: Solve for x
    x = 727,142,010.72/30,200.94
  6. Step 6: Final answer
    x = 24,076.80

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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.