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Finding the Fourth Proportional to 38,198.63, 52,711.67 and 21,203.21

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Solution

The fourth proportional to 38,198.63, 52,711.67 and 21,203.21 is: 29,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.63 : 52,711.67 = 21,203.21 : x
  2. Step 2: Convert to fraction form
    38,198.63/52,711.67 = 21,203.21/x
  3. Step 3: Cross multiply
    38,198.63x = 52,711.67 × 21,203.21
  4. Step 4: Simplify right side
    38,198.63x = 1,117,656,238.89
  5. Step 5: Solve for x
    x = 1,117,656,238.89/38,198.63
  6. Step 6: Final answer
    x = 29,259.07

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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.