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Finding the Fourth Proportional to 51,301.46, 76,964.04 and 16,241.11

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Solution

The fourth proportional to 51,301.46, 76,964.04 and 16,241.11 is: 24,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,301.46 : 76,964.04 = 16,241.11 : x
  2. Step 2: Convert to fraction form
    51,301.46/76,964.04 = 16,241.11/x
  3. Step 3: Cross multiply
    51,301.46x = 76,964.04 × 16,241.11
  4. Step 4: Simplify right side
    51,301.46x = 1,249,981,439.68
  5. Step 5: Solve for x
    x = 1,249,981,439.68/51,301.46
  6. Step 6: Final answer
    x = 24,365.42

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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.