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Finding the Fourth Proportional to 73,016.28, 100,760.04 and 41,184

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Solution

The fourth proportional to 73,016.28, 100,760.04 and 41,184 is: 56,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,016.28 : 100,760.04 = 41,184 : x
  2. Step 2: Convert to fraction form
    73,016.28/100,760.04 = 41,184/x
  3. Step 3: Cross multiply
    73,016.28x = 100,760.04 × 41,184
  4. Step 4: Simplify right side
    73,016.28x = 4,149,701,487.36
  5. Step 5: Solve for x
    x = 4,149,701,487.36/73,016.28
  6. Step 6: Final answer
    x = 56,832.55

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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.