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Finding the Fourth Proportional to 80,093.90, 120,176.01 and 38,004.41

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Solution

The fourth proportional to 80,093.90, 120,176.01 and 38,004.41 is: 57,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,093.90 : 120,176.01 = 38,004.41 : x
  2. Step 2: Convert to fraction form
    80,093.90/120,176.01 = 38,004.41/x
  3. Step 3: Cross multiply
    80,093.90x = 120,176.01 × 38,004.41
  4. Step 4: Simplify right side
    80,093.90x = 4,567,217,755.32
  5. Step 5: Solve for x
    x = 4,567,217,755.32/80,093.90
  6. Step 6: Final answer
    x = 57,023.29

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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.