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Finding the Fourth Proportional to 32,141.39, 44,349.84 and 20,196.27

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Solution

The fourth proportional to 32,141.39, 44,349.84 and 20,196.27 is: 27,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.39 : 44,349.84 = 20,196.27 : x
  2. Step 2: Convert to fraction form
    32,141.39/44,349.84 = 20,196.27/x
  3. Step 3: Cross multiply
    32,141.39x = 44,349.84 × 20,196.27
  4. Step 4: Simplify right side
    32,141.39x = 895,701,343.10
  5. Step 5: Solve for x
    x = 895,701,343.10/32,141.39
  6. Step 6: Final answer
    x = 27,867.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.