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Finding the Fourth Proportional to 31,086.96, 42,900.02 and 16,939.82

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Solution

The fourth proportional to 31,086.96, 42,900.02 and 16,939.82 is: 23,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.96 : 42,900.02 = 16,939.82 : x
  2. Step 2: Convert to fraction form
    31,086.96/42,900.02 = 16,939.82/x
  3. Step 3: Cross multiply
    31,086.96x = 42,900.02 × 16,939.82
  4. Step 4: Simplify right side
    31,086.96x = 726,718,317.60
  5. Step 5: Solve for x
    x = 726,718,317.60/31,086.96
  6. Step 6: Final answer
    x = 23,376.95

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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.