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Finding the Fourth Proportional to 31,109.88, 42,930.70 and 16,963

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Solution

The fourth proportional to 31,109.88, 42,930.70 and 16,963 is: 23,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109.88 : 42,930.70 = 16,963 : x
  2. Step 2: Convert to fraction form
    31,109.88/42,930.70 = 16,963/x
  3. Step 3: Cross multiply
    31,109.88x = 42,930.70 × 16,963
  4. Step 4: Simplify right side
    31,109.88x = 728,233,464.10
  5. Step 5: Solve for x
    x = 728,233,464.10/31,109.88
  6. Step 6: Final answer
    x = 23,408.43

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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.