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Finding the Fourth Proportional to 39,738, 54,836.48 and 23,819.36

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Solution

The fourth proportional to 39,738, 54,836.48 and 23,819.36 is: 32,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,738 : 54,836.48 = 23,819.36 : x
  2. Step 2: Convert to fraction form
    39,738/54,836.48 = 23,819.36/x
  3. Step 3: Cross multiply
    39,738x = 54,836.48 × 23,819.36
  4. Step 4: Simplify right side
    39,738x = 1,306,169,858.25
  5. Step 5: Solve for x
    x = 1,306,169,858.25/39,738
  6. Step 6: Final answer
    x = 32,869.54

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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.