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Finding the Fourth Proportional to 39,105.38, 53,965.80 and 21,200.34

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Solution

The fourth proportional to 39,105.38, 53,965.80 and 21,200.34 is: 29,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105.38 : 53,965.80 = 21,200.34 : x
  2. Step 2: Convert to fraction form
    39,105.38/53,965.80 = 21,200.34/x
  3. Step 3: Cross multiply
    39,105.38x = 53,965.80 × 21,200.34
  4. Step 4: Simplify right side
    39,105.38x = 1,144,093,308.37
  5. Step 5: Solve for x
    x = 1,144,093,308.37/39,105.38
  6. Step 6: Final answer
    x = 29,256.68

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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.