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Finding the Fourth Proportional to 50,964.40, 76,446.60 and 13,524.40

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Solution

The fourth proportional to 50,964.40, 76,446.60 and 13,524.40 is: 20,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,964.40 : 76,446.60 = 13,524.40 : x
  2. Step 2: Convert to fraction form
    50,964.40/76,446.60 = 13,524.40/x
  3. Step 3: Cross multiply
    50,964.40x = 76,446.60 × 13,524.40
  4. Step 4: Simplify right side
    50,964.40x = 1,033,894,397.04
  5. Step 5: Solve for x
    x = 1,033,894,397.04/50,964.40
  6. Step 6: Final answer
    x = 20,286.60

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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.