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Finding the Fourth Proportional to 31,136.49, 42,969.31 and 17,709.68

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Solution

The fourth proportional to 31,136.49, 42,969.31 and 17,709.68 is: 24,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,136.49 : 42,969.31 = 17,709.68 : x
  2. Step 2: Convert to fraction form
    31,136.49/42,969.31 = 17,709.68/x
  3. Step 3: Cross multiply
    31,136.49x = 42,969.31 × 17,709.68
  4. Step 4: Simplify right side
    31,136.49x = 760,972,685.65
  5. Step 5: Solve for x
    x = 760,972,685.65/31,136.49
  6. Step 6: Final answer
    x = 24,439.90

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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.