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Finding the Fourth Proportional to 32,771.34, 49,130.01 and 27,209.34

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Solution

The fourth proportional to 32,771.34, 49,130.01 and 27,209.34 is: 40,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.34 : 49,130.01 = 27,209.34 : x
  2. Step 2: Convert to fraction form
    32,771.34/49,130.01 = 27,209.34/x
  3. Step 3: Cross multiply
    32,771.34x = 49,130.01 × 27,209.34
  4. Step 4: Simplify right side
    32,771.34x = 1,336,795,146.29
  5. Step 5: Solve for x
    x = 1,336,795,146.29/32,771.34
  6. Step 6: Final answer
    x = 40,791.59

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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.