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Finding the Fourth Proportional to 75,890.78, 113,800.70 and 44,309.96

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Solution

The fourth proportional to 75,890.78, 113,800.70 and 44,309.96 is: 66,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,890.78 : 113,800.70 = 44,309.96 : x
  2. Step 2: Convert to fraction form
    75,890.78/113,800.70 = 44,309.96/x
  3. Step 3: Cross multiply
    75,890.78x = 113,800.70 × 44,309.96
  4. Step 4: Simplify right side
    75,890.78x = 5,042,504,464.97
  5. Step 5: Solve for x
    x = 5,042,504,464.97/75,890.78
  6. Step 6: Final answer
    x = 66,444.23

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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.