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Finding the Fourth Proportional to 32,517.68, 48,766.90 and 13,797.48

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Solution

The fourth proportional to 32,517.68, 48,766.90 and 13,797.48 is: 20,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.68 : 48,766.90 = 13,797.48 : x
  2. Step 2: Convert to fraction form
    32,517.68/48,766.90 = 13,797.48/x
  3. Step 3: Cross multiply
    32,517.68x = 48,766.90 × 13,797.48
  4. Step 4: Simplify right side
    32,517.68x = 672,860,327.41
  5. Step 5: Solve for x
    x = 672,860,327.41/32,517.68
  6. Step 6: Final answer
    x = 20,692.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.