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Finding the Fourth Proportional to 48,897, 67,481.24 and 27,676.35

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Solution

The fourth proportional to 48,897, 67,481.24 and 27,676.35 is: 38,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897 : 67,481.24 = 27,676.35 : x
  2. Step 2: Convert to fraction form
    48,897/67,481.24 = 27,676.35/x
  3. Step 3: Cross multiply
    48,897x = 67,481.24 × 27,676.35
  4. Step 4: Simplify right side
    48,897x = 1,867,634,278.29
  5. Step 5: Solve for x
    x = 1,867,634,278.29/48,897
  6. Step 6: Final answer
    x = 38,195.27

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1.5x scale

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.