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Finding the Fourth Proportional to 98,228.31, 135,571.32 and 57,951.92

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Solution

The fourth proportional to 98,228.31, 135,571.32 and 57,951.92 is: 79,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,228.31 : 135,571.32 = 57,951.92 : x
  2. Step 2: Convert to fraction form
    98,228.31/135,571.32 = 57,951.92/x
  3. Step 3: Cross multiply
    98,228.31x = 135,571.32 × 57,951.92
  4. Step 4: Simplify right side
    98,228.31x = 7,856,617,613.08
  5. Step 5: Solve for x
    x = 7,856,617,613.08/98,228.31
  6. Step 6: Final answer
    x = 79,983.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.