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Finding the Fourth Proportional to 119,844.84, 179,770.04 and 31,101.84

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Solution

The fourth proportional to 119,844.84, 179,770.04 and 31,101.84 is: 46,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,844.84 : 179,770.04 = 31,101.84 : x
  2. Step 2: Convert to fraction form
    119,844.84/179,770.04 = 31,101.84/x
  3. Step 3: Cross multiply
    119,844.84x = 179,770.04 × 31,101.84
  4. Step 4: Simplify right side
    119,844.84x = 5,591,179,020.87
  5. Step 5: Solve for x
    x = 5,591,179,020.87/119,844.84
  6. Step 6: Final answer
    x = 46,653.48

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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.