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Finding the Fourth Proportional to 49,874.56, 74,844.24 and 45,869.92

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Solution

The fourth proportional to 49,874.56, 74,844.24 and 45,869.92 is: 68,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874.56 : 74,844.24 = 45,869.92 : x
  2. Step 2: Convert to fraction form
    49,874.56/74,844.24 = 45,869.92/x
  3. Step 3: Cross multiply
    49,874.56x = 74,844.24 × 45,869.92
  4. Step 4: Simplify right side
    49,874.56x = 3,433,099,301.26
  5. Step 5: Solve for x
    x = 3,433,099,301.26/49,874.56
  6. Step 6: Final answer
    x = 68,834.68

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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.