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Finding the Fourth Proportional to 77,801.94, 116,694.41 and 25,197.30

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Solution

The fourth proportional to 77,801.94, 116,694.41 and 25,197.30 is: 37,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,801.94 : 116,694.41 = 25,197.30 : x
  2. Step 2: Convert to fraction form
    77,801.94/116,694.41 = 25,197.30/x
  3. Step 3: Cross multiply
    77,801.94x = 116,694.41 × 25,197.30
  4. Step 4: Simplify right side
    77,801.94x = 2,940,383,931.11
  5. Step 5: Solve for x
    x = 2,940,383,931.11/77,801.94
  6. Step 6: Final answer
    x = 37,793.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.