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Finding the Fourth Proportional to 32,991.77, 49,496.87 and 10,820.75

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Solution

The fourth proportional to 32,991.77, 49,496.87 and 10,820.75 is: 16,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.77 : 49,496.87 = 10,820.75 : x
  2. Step 2: Convert to fraction form
    32,991.77/49,496.87 = 10,820.75/x
  3. Step 3: Cross multiply
    32,991.77x = 49,496.87 × 10,820.75
  4. Step 4: Simplify right side
    32,991.77x = 535,593,035.62
  5. Step 5: Solve for x
    x = 535,593,035.62/32,991.77
  6. Step 6: Final answer
    x = 16,234.14

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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.