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Finding the Fourth Proportional to 32,165.80, 48,234.30 and 12,437.80

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Solution

The fourth proportional to 32,165.80, 48,234.30 and 12,437.80 is: 18,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.80 : 48,234.30 = 12,437.80 : x
  2. Step 2: Convert to fraction form
    32,165.80/48,234.30 = 12,437.80/x
  3. Step 3: Cross multiply
    32,165.80x = 48,234.30 × 12,437.80
  4. Step 4: Simplify right side
    32,165.80x = 599,928,576.54
  5. Step 5: Solve for x
    x = 599,928,576.54/32,165.80
  6. Step 6: Final answer
    x = 18,651.13

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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.