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Finding the Fourth Proportional to 32,017.64, 48,033.56 and 12,296.20

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Solution

The fourth proportional to 32,017.64, 48,033.56 and 12,296.20 is: 18,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.64 : 48,033.56 = 12,296.20 : x
  2. Step 2: Convert to fraction form
    32,017.64/48,033.56 = 12,296.20/x
  3. Step 3: Cross multiply
    32,017.64x = 48,033.56 × 12,296.20
  4. Step 4: Simplify right side
    32,017.64x = 590,630,260.47
  5. Step 5: Solve for x
    x = 590,630,260.47/32,017.64
  6. Step 6: Final answer
    x = 18,447.03

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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.