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Finding the Fourth Proportional to 32,998.20, 49,509.45 and 10,812.30

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Solution

The fourth proportional to 32,998.20, 49,509.45 and 10,812.30 is: 16,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.20 : 49,509.45 = 10,812.30 : x
  2. Step 2: Convert to fraction form
    32,998.20/49,509.45 = 10,812.30/x
  3. Step 3: Cross multiply
    32,998.20x = 49,509.45 × 10,812.30
  4. Step 4: Simplify right side
    32,998.20x = 535,311,026.24
  5. Step 5: Solve for x
    x = 535,311,026.24/32,998.20
  6. Step 6: Final answer
    x = 16,222.43

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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.