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Finding the Fourth Proportional to 31,116.48, 42,940.92 and 16,969.02

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Solution

The fourth proportional to 31,116.48, 42,940.92 and 16,969.02 is: 23,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116.48 : 42,940.92 = 16,969.02 : x
  2. Step 2: Convert to fraction form
    31,116.48/42,940.92 = 16,969.02/x
  3. Step 3: Cross multiply
    31,116.48x = 42,940.92 × 16,969.02
  4. Step 4: Simplify right side
    31,116.48x = 728,665,330.30
  5. Step 5: Solve for x
    x = 728,665,330.30/31,116.48
  6. Step 6: Final answer
    x = 23,417.34

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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.