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Finding the Fourth Proportional to 82,947, 114,469.74 and 47,138.52

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Solution

The fourth proportional to 82,947, 114,469.74 and 47,138.52 is: 65,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,947 : 114,469.74 = 47,138.52 : x
  2. Step 2: Convert to fraction form
    82,947/114,469.74 = 47,138.52/x
  3. Step 3: Cross multiply
    82,947x = 114,469.74 × 47,138.52
  4. Step 4: Simplify right side
    82,947x = 5,395,934,128.38
  5. Step 5: Solve for x
    x = 5,395,934,128.38/82,947
  6. Step 6: Final answer
    x = 65,052.79

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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.