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Finding the Fourth Proportional to 49,231.70, 73,847.55 and 29,500.10

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Solution

The fourth proportional to 49,231.70, 73,847.55 and 29,500.10 is: 44,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,231.70 : 73,847.55 = 29,500.10 : x
  2. Step 2: Convert to fraction form
    49,231.70/73,847.55 = 29,500.10/x
  3. Step 3: Cross multiply
    49,231.70x = 73,847.55 × 29,500.10
  4. Step 4: Simplify right side
    49,231.70x = 2,178,510,109.76
  5. Step 5: Solve for x
    x = 2,178,510,109.76/49,231.70
  6. Step 6: Final answer
    x = 44,250.15

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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.