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Finding the Fourth Proportional to 32,141.26, 48,204.01 and 13,421.44

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Solution

The fourth proportional to 32,141.26, 48,204.01 and 13,421.44 is: 20,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.26 : 48,204.01 = 13,421.44 : x
  2. Step 2: Convert to fraction form
    32,141.26/48,204.01 = 13,421.44/x
  3. Step 3: Cross multiply
    32,141.26x = 48,204.01 × 13,421.44
  4. Step 4: Simplify right side
    32,141.26x = 646,967,227.97
  5. Step 5: Solve for x
    x = 646,967,227.97/32,141.26
  6. Step 6: Final answer
    x = 20,128.87

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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.