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Finding the Fourth Proportional to 32,198.80, 48,298.20 and 8,506.30

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Solution

The fourth proportional to 32,198.80, 48,298.20 and 8,506.30 is: 12,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.80 : 48,298.20 = 8,506.30 : x
  2. Step 2: Convert to fraction form
    32,198.80/48,298.20 = 8,506.30/x
  3. Step 3: Cross multiply
    32,198.80x = 48,298.20 × 8,506.30
  4. Step 4: Simplify right side
    32,198.80x = 410,838,978.66
  5. Step 5: Solve for x
    x = 410,838,978.66/32,198.80
  6. Step 6: Final answer
    x = 12,759.45

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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.