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Finding the Fourth Proportional to 47,150, 65,067 and 25,930.64

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Solution

The fourth proportional to 47,150, 65,067 and 25,930.64 is: 35,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,150 : 65,067 = 25,930.64 : x
  2. Step 2: Convert to fraction form
    47,150/65,067 = 25,930.64/x
  3. Step 3: Cross multiply
    47,150x = 65,067 × 25,930.64
  4. Step 4: Simplify right side
    47,150x = 1,687,228,952.88
  5. Step 5: Solve for x
    x = 1,687,228,952.88/47,150
  6. Step 6: Final answer
    x = 35,784.28

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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.