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Finding the Fourth Proportional to 31,780.77, 43,857.77 and 17,634.93

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Solution

The fourth proportional to 31,780.77, 43,857.77 and 17,634.93 is: 24,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780.77 : 43,857.77 = 17,634.93 : x
  2. Step 2: Convert to fraction form
    31,780.77/43,857.77 = 17,634.93/x
  3. Step 3: Cross multiply
    31,780.77x = 43,857.77 × 17,634.93
  4. Step 4: Simplify right side
    31,780.77x = 773,428,615.73
  5. Step 5: Solve for x
    x = 773,428,615.73/31,780.77
  6. Step 6: Final answer
    x = 24,336.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.