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Finding the Fourth Proportional to 38,200.28, 52,713.87 and 21,203.69

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Solution

The fourth proportional to 38,200.28, 52,713.87 and 21,203.69 is: 29,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.28 : 52,713.87 = 21,203.69 : x
  2. Step 2: Convert to fraction form
    38,200.28/52,713.87 = 21,203.69/x
  3. Step 3: Cross multiply
    38,200.28x = 52,713.87 × 21,203.69
  4. Step 4: Simplify right side
    38,200.28x = 1,117,728,215.10
  5. Step 5: Solve for x
    x = 1,117,728,215.10/38,200.28
  6. Step 6: Final answer
    x = 29,259.69

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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.