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Finding the Fourth Proportional to 73,982.76, 111,057.07 and 29,640.43

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Solution

The fourth proportional to 73,982.76, 111,057.07 and 29,640.43 is: 44,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982.76 : 111,057.07 = 29,640.43 : x
  2. Step 2: Convert to fraction form
    73,982.76/111,057.07 = 29,640.43/x
  3. Step 3: Cross multiply
    73,982.76x = 111,057.07 × 29,640.43
  4. Step 4: Simplify right side
    73,982.76x = 3,291,779,068.75
  5. Step 5: Solve for x
    x = 3,291,779,068.75/73,982.76
  6. Step 6: Final answer
    x = 44,493.86

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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.