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Finding the Fourth Proportional to 32,797.56, 49,214.56 and 20,324.36

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Solution

The fourth proportional to 32,797.56, 49,214.56 and 20,324.36 is: 30,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.56 : 49,214.56 = 20,324.36 : x
  2. Step 2: Convert to fraction form
    32,797.56/49,214.56 = 20,324.36/x
  3. Step 3: Cross multiply
    32,797.56x = 49,214.56 × 20,324.36
  4. Step 4: Simplify right side
    32,797.56x = 1,000,254,434.68
  5. Step 5: Solve for x
    x = 1,000,254,434.68/32,797.56
  6. Step 6: Final answer
    x = 30,497.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.