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Finding the Fourth Proportional to 32,033.60, 44,201.96 and 17,884.64

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Solution

The fourth proportional to 32,033.60, 44,201.96 and 17,884.64 is: 24,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.60 : 44,201.96 = 17,884.64 : x
  2. Step 2: Convert to fraction form
    32,033.60/44,201.96 = 17,884.64/x
  3. Step 3: Cross multiply
    32,033.60x = 44,201.96 × 17,884.64
  4. Step 4: Simplify right side
    32,033.60x = 790,536,141.89
  5. Step 5: Solve for x
    x = 790,536,141.89/32,033.60
  6. Step 6: Final answer
    x = 24,678.34

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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.