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Finding the Fourth Proportional to 32,983.94, 49,481.10 and 10,792.10

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Solution

The fourth proportional to 32,983.94, 49,481.10 and 10,792.10 is: 16,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.94 : 49,481.10 = 10,792.10 : x
  2. Step 2: Convert to fraction form
    32,983.94/49,481.10 = 10,792.10/x
  3. Step 3: Cross multiply
    32,983.94x = 49,481.10 × 10,792.10
  4. Step 4: Simplify right side
    32,983.94x = 534,004,979.31
  5. Step 5: Solve for x
    x = 534,004,979.31/32,983.94
  6. Step 6: Final answer
    x = 16,189.85

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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.