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Finding the Fourth Proportional to 32,682.94, 49,043.04 and 27,202.66

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Solution

The fourth proportional to 32,682.94, 49,043.04 and 27,202.66 is: 40,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.94 : 49,043.04 = 27,202.66 : x
  2. Step 2: Convert to fraction form
    32,682.94/49,043.04 = 27,202.66/x
  3. Step 3: Cross multiply
    32,682.94x = 49,043.04 × 27,202.66
  4. Step 4: Simplify right side
    32,682.94x = 1,334,101,142.49
  5. Step 5: Solve for x
    x = 1,334,101,142.49/32,682.94
  6. Step 6: Final answer
    x = 40,819.50

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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.