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Finding the Fourth Proportional to 30,783.52, 42,480.96 and 17,171.68

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Solution

The fourth proportional to 30,783.52, 42,480.96 and 17,171.68 is: 23,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.52 : 42,480.96 = 17,171.68 : x
  2. Step 2: Convert to fraction form
    30,783.52/42,480.96 = 17,171.68/x
  3. Step 3: Cross multiply
    30,783.52x = 42,480.96 × 17,171.68
  4. Step 4: Simplify right side
    30,783.52x = 729,469,451.21
  5. Step 5: Solve for x
    x = 729,469,451.21/30,783.52
  6. Step 6: Final answer
    x = 23,696.75

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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.