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Finding the Fourth Proportional to 65,112.44, 97,667.65 and 20,738.82

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Solution

The fourth proportional to 65,112.44, 97,667.65 and 20,738.82 is: 31,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.44 : 97,667.65 = 20,738.82 : x
  2. Step 2: Convert to fraction form
    65,112.44/97,667.65 = 20,738.82/x
  3. Step 3: Cross multiply
    65,112.44x = 97,667.65 × 20,738.82
  4. Step 4: Simplify right side
    65,112.44x = 2,025,511,709.48
  5. Step 5: Solve for x
    x = 2,025,511,709.48/65,112.44
  6. Step 6: Final answer
    x = 31,107.91

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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.