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Finding the Fourth Proportional to 109,872.25, 164,710.64 and 39,735.97

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Solution

The fourth proportional to 109,872.25, 164,710.64 and 39,735.97 is: 59,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872.25 : 164,710.64 = 39,735.97 : x
  2. Step 2: Convert to fraction form
    109,872.25/164,710.64 = 39,735.97/x
  3. Step 3: Cross multiply
    109,872.25x = 164,710.64 × 39,735.97
  4. Step 4: Simplify right side
    109,872.25x = 6,544,936,851.04
  5. Step 5: Solve for x
    x = 6,544,936,851.04/109,872.25
  6. Step 6: Final answer
    x = 59,568.61

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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.