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Finding the Fourth Proportional to 47,660.47, 65,771.47 and 26,439.75

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Solution

The fourth proportional to 47,660.47, 65,771.47 and 26,439.75 is: 36,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,660.47 : 65,771.47 = 26,439.75 : x
  2. Step 2: Convert to fraction form
    47,660.47/65,771.47 = 26,439.75/x
  3. Step 3: Cross multiply
    47,660.47x = 65,771.47 × 26,439.75
  4. Step 4: Simplify right side
    47,660.47x = 1,738,981,256.98
  5. Step 5: Solve for x
    x = 1,738,981,256.98/47,660.47
  6. Step 6: Final answer
    x = 36,486.87

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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.