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Finding the Fourth Proportional to 47,450, 65,480.52 and 26,228.24

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Solution

The fourth proportional to 47,450, 65,480.52 and 26,228.24 is: 36,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,450 : 65,480.52 = 26,228.24 : x
  2. Step 2: Convert to fraction form
    47,450/65,480.52 = 26,228.24/x
  3. Step 3: Cross multiply
    47,450x = 65,480.52 × 26,228.24
  4. Step 4: Simplify right side
    47,450x = 1,717,438,793.88
  5. Step 5: Solve for x
    x = 1,717,438,793.88/47,450
  6. Step 6: Final answer
    x = 36,194.71

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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.