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Finding the Fourth Proportional to 32,049.80, 48,044.45 and 11,261.96

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Solution

The fourth proportional to 32,049.80, 48,044.45 and 11,261.96 is: 16,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.80 : 48,044.45 = 11,261.96 : x
  2. Step 2: Convert to fraction form
    32,049.80/48,044.45 = 11,261.96/x
  3. Step 3: Cross multiply
    32,049.80x = 48,044.45 × 11,261.96
  4. Step 4: Simplify right side
    32,049.80x = 541,074,462.05
  5. Step 5: Solve for x
    x = 541,074,462.05/32,049.80
  6. Step 6: Final answer
    x = 16,882.31

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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.