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Finding the Fourth Proportional to 31,596, 43,615.20 and 21,534.61

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Solution

The fourth proportional to 31,596, 43,615.20 and 21,534.61 is: 29,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596 : 43,615.20 = 21,534.61 : x
  2. Step 2: Convert to fraction form
    31,596/43,615.20 = 21,534.61/x
  3. Step 3: Cross multiply
    31,596x = 43,615.20 × 21,534.61
  4. Step 4: Simplify right side
    31,596x = 939,236,213.03
  5. Step 5: Solve for x
    x = 939,236,213.03/31,596
  6. Step 6: Final answer
    x = 29,726.43

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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.