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Finding the Fourth Proportional to 30,842.67, 46,266.29 and 27,170.34

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Solution

The fourth proportional to 30,842.67, 46,266.29 and 27,170.34 is: 40,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.67 : 46,266.29 = 27,170.34 : x
  2. Step 2: Convert to fraction form
    30,842.67/46,266.29 = 27,170.34/x
  3. Step 3: Cross multiply
    30,842.67x = 46,266.29 × 27,170.34
  4. Step 4: Simplify right side
    30,842.67x = 1,257,070,622.38
  5. Step 5: Solve for x
    x = 1,257,070,622.38/30,842.67
  6. Step 6: Final answer
    x = 40,757.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.