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Finding the Fourth Proportional to 32,138.54, 44,345.90 and 20,193.41

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Solution

The fourth proportional to 32,138.54, 44,345.90 and 20,193.41 is: 27,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.54 : 44,345.90 = 20,193.41 : x
  2. Step 2: Convert to fraction form
    32,138.54/44,345.90 = 20,193.41/x
  3. Step 3: Cross multiply
    32,138.54x = 44,345.90 × 20,193.41
  4. Step 4: Simplify right side
    32,138.54x = 895,494,617.82
  5. Step 5: Solve for x
    x = 895,494,617.82/32,138.54
  6. Step 6: Final answer
    x = 27,863.58

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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.