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Finding the Fourth Proportional to 31,133.57, 42,963.13 and 16,986.42

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Solution

The fourth proportional to 31,133.57, 42,963.13 and 16,986.42 is: 23,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.57 : 42,963.13 = 16,986.42 : x
  2. Step 2: Convert to fraction form
    31,133.57/42,963.13 = 16,986.42/x
  3. Step 3: Cross multiply
    31,133.57x = 42,963.13 × 16,986.42
  4. Step 4: Simplify right side
    31,133.57x = 729,789,470.95
  5. Step 5: Solve for x
    x = 729,789,470.95/31,133.57
  6. Step 6: Final answer
    x = 23,440.60

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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.