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Finding the Fourth Proportional to 44,644.43, 66,964.72 and 13,478.75

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Solution

The fourth proportional to 44,644.43, 66,964.72 and 13,478.75 is: 20,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,644.43 : 66,964.72 = 13,478.75 : x
  2. Step 2: Convert to fraction form
    44,644.43/66,964.72 = 13,478.75/x
  3. Step 3: Cross multiply
    44,644.43x = 66,964.72 × 13,478.75
  4. Step 4: Simplify right side
    44,644.43x = 902,600,719.70
  5. Step 5: Solve for x
    x = 902,600,719.70/44,644.43
  6. Step 6: Final answer
    x = 20,217.54

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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.