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Finding the Fourth Proportional to 31,116.38, 42,940.60 and 16,969.32

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Solution

The fourth proportional to 31,116.38, 42,940.60 and 16,969.32 is: 23,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116.38 : 42,940.60 = 16,969.32 : x
  2. Step 2: Convert to fraction form
    31,116.38/42,940.60 = 16,969.32/x
  3. Step 3: Cross multiply
    31,116.38x = 42,940.60 × 16,969.32
  4. Step 4: Simplify right side
    31,116.38x = 728,672,739.97
  5. Step 5: Solve for x
    x = 728,672,739.97/31,116.38
  6. Step 6: Final answer
    x = 23,417.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.