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Finding the Fourth Proportional to 31,728.07, 43,786.12 and 17,580.88

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Solution

The fourth proportional to 31,728.07, 43,786.12 and 17,580.88 is: 24,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.07 : 43,786.12 = 17,580.88 : x
  2. Step 2: Convert to fraction form
    31,728.07/43,786.12 = 17,580.88/x
  3. Step 3: Cross multiply
    31,728.07x = 43,786.12 × 17,580.88
  4. Step 4: Simplify right side
    31,728.07x = 769,798,302.46
  5. Step 5: Solve for x
    x = 769,798,302.46/31,728.07
  6. Step 6: Final answer
    x = 24,262.38

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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.