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Finding the Fourth Proportional to 31,112.88, 42,934.84 and 16,966

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Solution

The fourth proportional to 31,112.88, 42,934.84 and 16,966 is: 23,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,112.88 : 42,934.84 = 16,966 : x
  2. Step 2: Convert to fraction form
    31,112.88/42,934.84 = 16,966/x
  3. Step 3: Cross multiply
    31,112.88x = 42,934.84 × 16,966
  4. Step 4: Simplify right side
    31,112.88x = 728,432,495.44
  5. Step 5: Solve for x
    x = 728,432,495.44/31,112.88
  6. Step 6: Final answer
    x = 23,412.57

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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.