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Finding the Fourth Proportional to 32,195.80, 48,265.23 and 12,191.39

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Solution

The fourth proportional to 32,195.80, 48,265.23 and 12,191.39 is: 18,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.80 : 48,265.23 = 12,191.39 : x
  2. Step 2: Convert to fraction form
    32,195.80/48,265.23 = 12,191.39/x
  3. Step 3: Cross multiply
    32,195.80x = 48,265.23 × 12,191.39
  4. Step 4: Simplify right side
    32,195.80x = 588,420,242.37
  5. Step 5: Solve for x
    x = 588,420,242.37/32,195.80
  6. Step 6: Final answer
    x = 18,276.31

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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.