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Finding the Fourth Proportional to 30,757.73, 42,440.54 and 17,142.82

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Solution

The fourth proportional to 30,757.73, 42,440.54 and 17,142.82 is: 23,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757.73 : 42,440.54 = 17,142.82 : x
  2. Step 2: Convert to fraction form
    30,757.73/42,440.54 = 17,142.82/x
  3. Step 3: Cross multiply
    30,757.73x = 42,440.54 × 17,142.82
  4. Step 4: Simplify right side
    30,757.73x = 727,550,346.11
  5. Step 5: Solve for x
    x = 727,550,346.11/30,757.73
  6. Step 6: Final answer
    x = 23,654.23

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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.