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Finding the Fourth Proportional to 38,198.38, 52,713.58 and 21,202.83

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Solution

The fourth proportional to 38,198.38, 52,713.58 and 21,202.83 is: 29,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.38 : 52,713.58 = 21,202.83 : x
  2. Step 2: Convert to fraction form
    38,198.38/52,713.58 = 21,202.83/x
  3. Step 3: Cross multiply
    38,198.38x = 52,713.58 × 21,202.83
  4. Step 4: Simplify right side
    38,198.38x = 1,117,677,075.43
  5. Step 5: Solve for x
    x = 1,117,677,075.43/38,198.38
  6. Step 6: Final answer
    x = 29,259.80

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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.