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Finding the Fourth Proportional to 73,518.64, 110,314.44 and 29,144.41

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Solution

The fourth proportional to 73,518.64, 110,314.44 and 29,144.41 is: 43,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,518.64 : 110,314.44 = 29,144.41 : x
  2. Step 2: Convert to fraction form
    73,518.64/110,314.44 = 29,144.41/x
  3. Step 3: Cross multiply
    73,518.64x = 110,314.44 × 29,144.41
  4. Step 4: Simplify right side
    73,518.64x = 3,215,048,992.49
  5. Step 5: Solve for x
    x = 3,215,048,992.49/73,518.64
  6. Step 6: Final answer
    x = 43,731.07

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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.