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Finding the Fourth Proportional to 32,983.33, 49,474.58 and 8,023.39

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Solution

The fourth proportional to 32,983.33, 49,474.58 and 8,023.39 is: 12,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.33 : 49,474.58 = 8,023.39 : x
  2. Step 2: Convert to fraction form
    32,983.33/49,474.58 = 8,023.39/x
  3. Step 3: Cross multiply
    32,983.33x = 49,474.58 × 8,023.39
  4. Step 4: Simplify right side
    32,983.33x = 396,953,850.43
  5. Step 5: Solve for x
    x = 396,953,850.43/32,983.33
  6. Step 6: Final answer
    x = 12,034.98

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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.