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Finding the Fourth Proportional to 73,532.74, 110,280.89 and 20,942.68

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Solution

The fourth proportional to 73,532.74, 110,280.89 and 20,942.68 is: 31,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,532.74 : 110,280.89 = 20,942.68 : x
  2. Step 2: Convert to fraction form
    73,532.74/110,280.89 = 20,942.68/x
  3. Step 3: Cross multiply
    73,532.74x = 110,280.89 × 20,942.68
  4. Step 4: Simplify right side
    73,532.74x = 2,309,577,284.67
  5. Step 5: Solve for x
    x = 2,309,577,284.67/73,532.74
  6. Step 6: Final answer
    x = 31,408.83

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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.