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Finding the Fourth Proportional to 49,107.96, 73,695.96 and 19,522.71

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Solution

The fourth proportional to 49,107.96, 73,695.96 and 19,522.71 is: 29,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,107.96 : 73,695.96 = 19,522.71 : x
  2. Step 2: Convert to fraction form
    49,107.96/73,695.96 = 19,522.71/x
  3. Step 3: Cross multiply
    49,107.96x = 73,695.96 × 19,522.71
  4. Step 4: Simplify right side
    49,107.96x = 1,438,744,855.25
  5. Step 5: Solve for x
    x = 1,438,744,855.25/49,107.96
  6. Step 6: Final answer
    x = 29,297.59

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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.