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Finding the Fourth Proportional to 31,122.64, 42,950.28 and 16,976.26

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Solution

The fourth proportional to 31,122.64, 42,950.28 and 16,976.26 is: 23,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.64 : 42,950.28 = 16,976.26 : x
  2. Step 2: Convert to fraction form
    31,122.64/42,950.28 = 16,976.26/x
  3. Step 3: Cross multiply
    31,122.64x = 42,950.28 × 16,976.26
  4. Step 4: Simplify right side
    31,122.64x = 729,135,120.35
  5. Step 5: Solve for x
    x = 729,135,120.35/31,122.64
  6. Step 6: Final answer
    x = 23,427.80

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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.