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Finding the Fourth Proportional to 77,597.70, 116,400.65 and 33,179.73

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Solution

The fourth proportional to 77,597.70, 116,400.65 and 33,179.73 is: 49,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,597.70 : 116,400.65 = 33,179.73 : x
  2. Step 2: Convert to fraction form
    77,597.70/116,400.65 = 33,179.73/x
  3. Step 3: Cross multiply
    77,597.70x = 116,400.65 × 33,179.73
  4. Step 4: Simplify right side
    77,597.70x = 3,862,141,536.42
  5. Step 5: Solve for x
    x = 3,862,141,536.42/77,597.70
  6. Step 6: Final answer
    x = 49,771.34

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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.