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Finding the Fourth Proportional to 32,842.44, 49,265.46 and 9,468.27

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Solution

The fourth proportional to 32,842.44, 49,265.46 and 9,468.27 is: 14,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.44 : 49,265.46 = 9,468.27 : x
  2. Step 2: Convert to fraction form
    32,842.44/49,265.46 = 9,468.27/x
  3. Step 3: Cross multiply
    32,842.44x = 49,265.46 × 9,468.27
  4. Step 4: Simplify right side
    32,842.44x = 466,458,676.95
  5. Step 5: Solve for x
    x = 466,458,676.95/32,842.44
  6. Step 6: Final answer
    x = 14,202.92

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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.