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Finding the Fourth Proportional to 57,951.60, 86,983.46 and 27,986.84

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Solution

The fourth proportional to 57,951.60, 86,983.46 and 27,986.84 is: 42,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,951.60 : 86,983.46 = 27,986.84 : x
  2. Step 2: Convert to fraction form
    57,951.60/86,983.46 = 27,986.84/x
  3. Step 3: Cross multiply
    57,951.60x = 86,983.46 × 27,986.84
  4. Step 4: Simplify right side
    57,951.60x = 2,434,392,177.67
  5. Step 5: Solve for x
    x = 2,434,392,177.67/57,951.60
  6. Step 6: Final answer
    x = 42,007.33

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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.