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Finding the Fourth Proportional to 32,021.34, 48,034.30 and 12,299.90

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Solution

The fourth proportional to 32,021.34, 48,034.30 and 12,299.90 is: 18,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.34 : 48,034.30 = 12,299.90 : x
  2. Step 2: Convert to fraction form
    32,021.34/48,034.30 = 12,299.90/x
  3. Step 3: Cross multiply
    32,021.34x = 48,034.30 × 12,299.90
  4. Step 4: Simplify right side
    32,021.34x = 590,817,086.57
  5. Step 5: Solve for x
    x = 590,817,086.57/32,021.34
  6. Step 6: Final answer
    x = 18,450.73

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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.