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Finding the Fourth Proportional to 31,783, 43,859.02 and 17,442.49

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Solution

The fourth proportional to 31,783, 43,859.02 and 17,442.49 is: 24,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783 : 43,859.02 = 17,442.49 : x
  2. Step 2: Convert to fraction form
    31,783/43,859.02 = 17,442.49/x
  3. Step 3: Cross multiply
    31,783x = 43,859.02 × 17,442.49
  4. Step 4: Simplify right side
    31,783x = 765,010,517.76
  5. Step 5: Solve for x
    x = 765,010,517.76/31,783
  6. Step 6: Final answer
    x = 24,069.80

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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.