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Finding the Fourth Proportional to 31,116.88, 42,940.36 and 16,970

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Solution

The fourth proportional to 31,116.88, 42,940.36 and 16,970 is: 23,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116.88 : 42,940.36 = 16,970 : x
  2. Step 2: Convert to fraction form
    31,116.88/42,940.36 = 16,970/x
  3. Step 3: Cross multiply
    31,116.88x = 42,940.36 × 16,970
  4. Step 4: Simplify right side
    31,116.88x = 728,697,909.20
  5. Step 5: Solve for x
    x = 728,697,909.20/31,116.88
  6. Step 6: Final answer
    x = 23,418.09

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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.