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Finding the Fourth Proportional to 31,744.95, 43,804.94 and 17,597.49

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Solution

The fourth proportional to 31,744.95, 43,804.94 and 17,597.49 is: 24,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.95 : 43,804.94 = 17,597.49 : x
  2. Step 2: Convert to fraction form
    31,744.95/43,804.94 = 17,597.49/x
  3. Step 3: Cross multiply
    31,744.95x = 43,804.94 × 17,597.49
  4. Step 4: Simplify right side
    31,744.95x = 770,856,905.61
  5. Step 5: Solve for x
    x = 770,856,905.61/31,744.95
  6. Step 6: Final answer
    x = 24,282.82

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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.