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Finding the Fourth Proportional to 47,676.87, 65,793.87 and 26,456.09

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Solution

The fourth proportional to 47,676.87, 65,793.87 and 26,456.09 is: 36,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.87 : 65,793.87 = 26,456.09 : x
  2. Step 2: Convert to fraction form
    47,676.87/65,793.87 = 26,456.09/x
  3. Step 3: Cross multiply
    47,676.87x = 65,793.87 × 26,456.09
  4. Step 4: Simplify right side
    47,676.87x = 1,740,648,217.20
  5. Step 5: Solve for x
    x = 1,740,648,217.20/47,676.87
  6. Step 6: Final answer
    x = 36,509.28

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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.