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Finding the Fourth Proportional to 49,874.67, 74,815.02 and 20,276.37

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Solution

The fourth proportional to 49,874.67, 74,815.02 and 20,276.37 is: 30,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874.67 : 74,815.02 = 20,276.37 : x
  2. Step 2: Convert to fraction form
    49,874.67/74,815.02 = 20,276.37/x
  3. Step 3: Cross multiply
    49,874.67x = 74,815.02 × 20,276.37
  4. Step 4: Simplify right side
    49,874.67x = 1,516,977,027.08
  5. Step 5: Solve for x
    x = 1,516,977,027.08/49,874.67
  6. Step 6: Final answer
    x = 30,415.78

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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.