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Finding the Fourth Proportional to 31,133.70, 42,964.02 and 16,986.24

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Solution

The fourth proportional to 31,133.70, 42,964.02 and 16,986.24 is: 23,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.70 : 42,964.02 = 16,986.24 : x
  2. Step 2: Convert to fraction form
    31,133.70/42,964.02 = 16,986.24/x
  3. Step 3: Cross multiply
    31,133.70x = 42,964.02 × 16,986.24
  4. Step 4: Simplify right side
    31,133.70x = 729,797,155.08
  5. Step 5: Solve for x
    x = 729,797,155.08/31,133.70
  6. Step 6: Final answer
    x = 23,440.75

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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.