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Finding the Fourth Proportional to 47,794.92, 65,963.14 and 28,932.36

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Solution

The fourth proportional to 47,794.92, 65,963.14 and 28,932.36 is: 39,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,794.92 : 65,963.14 = 28,932.36 : x
  2. Step 2: Convert to fraction form
    47,794.92/65,963.14 = 28,932.36/x
  3. Step 3: Cross multiply
    47,794.92x = 65,963.14 × 28,932.36
  4. Step 4: Simplify right side
    47,794.92x = 1,908,469,313.21
  5. Step 5: Solve for x
    x = 1,908,469,313.21/47,794.92
  6. Step 6: Final answer
    x = 39,930.38

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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.