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Finding the Fourth Proportional to 73,164.72, 100,978.92 and 44,493.49

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Solution

The fourth proportional to 73,164.72, 100,978.92 and 44,493.49 is: 61,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164.72 : 100,978.92 = 44,493.49 : x
  2. Step 2: Convert to fraction form
    73,164.72/100,978.92 = 44,493.49/x
  3. Step 3: Cross multiply
    73,164.72x = 100,978.92 × 44,493.49
  4. Step 4: Simplify right side
    73,164.72x = 4,492,904,363.75
  5. Step 5: Solve for x
    x = 4,492,904,363.75/73,164.72
  6. Step 6: Final answer
    x = 61,408.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.