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Finding the Fourth Proportional to 44,514, 66,771 and 13,349.25

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Solution

The fourth proportional to 44,514, 66,771 and 13,349.25 is: 20,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,514 : 66,771 = 13,349.25 : x
  2. Step 2: Convert to fraction form
    44,514/66,771 = 13,349.25/x
  3. Step 3: Cross multiply
    44,514x = 66,771 × 13,349.25
  4. Step 4: Simplify right side
    44,514x = 891,342,771.75
  5. Step 5: Solve for x
    x = 891,342,771.75/44,514
  6. Step 6: Final answer
    x = 20,023.88

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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.