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Finding the Fourth Proportional to 31,123.49, 42,950.99 and 16,976.84

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Solution

The fourth proportional to 31,123.49, 42,950.99 and 16,976.84 is: 23,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,123.49 : 42,950.99 = 16,976.84 : x
  2. Step 2: Convert to fraction form
    31,123.49/42,950.99 = 16,976.84/x
  3. Step 3: Cross multiply
    31,123.49x = 42,950.99 × 16,976.84
  4. Step 4: Simplify right side
    31,123.49x = 729,171,912.76
  5. Step 5: Solve for x
    x = 729,171,912.76/31,123.49
  6. Step 6: Final answer
    x = 23,428.35

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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.