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Finding the Fourth Proportional to 38,447.36, 53,059.20 and 21,680

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Solution

The fourth proportional to 38,447.36, 53,059.20 and 21,680 is: 29,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,447.36 : 53,059.20 = 21,680 : x
  2. Step 2: Convert to fraction form
    38,447.36/53,059.20 = 21,680/x
  3. Step 3: Cross multiply
    38,447.36x = 53,059.20 × 21,680
  4. Step 4: Simplify right side
    38,447.36x = 1,150,323,456
  5. Step 5: Solve for x
    x = 1,150,323,456/38,447.36
  6. Step 6: Final answer
    x = 29,919.44

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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.