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Finding the Fourth Proportional to 32,892.80, 49,339.20 and 27,425.30

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Solution

The fourth proportional to 32,892.80, 49,339.20 and 27,425.30 is: 41,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,892.80 : 49,339.20 = 27,425.30 : x
  2. Step 2: Convert to fraction form
    32,892.80/49,339.20 = 27,425.30/x
  3. Step 3: Cross multiply
    32,892.80x = 49,339.20 × 27,425.30
  4. Step 4: Simplify right side
    32,892.80x = 1,353,142,361.76
  5. Step 5: Solve for x
    x = 1,353,142,361.76/32,892.80
  6. Step 6: Final answer
    x = 41,137.95

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Why These Related Problems?

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