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Finding the Fourth Proportional to 73,847.36, 110,764.16 and 29,462.40

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Solution

The fourth proportional to 73,847.36, 110,764.16 and 29,462.40 is: 44,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,847.36 : 110,764.16 = 29,462.40 : x
  2. Step 2: Convert to fraction form
    73,847.36/110,764.16 = 29,462.40/x
  3. Step 3: Cross multiply
    73,847.36x = 110,764.16 × 29,462.40
  4. Step 4: Simplify right side
    73,847.36x = 3,263,377,987.58
  5. Step 5: Solve for x
    x = 3,263,377,987.58/73,847.36
  6. Step 6: Final answer
    x = 44,190.86

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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.