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Finding the Fourth Proportional to 32,952.33, 49,376.74 and 25,474.23

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Solution

The fourth proportional to 32,952.33, 49,376.74 and 25,474.23 is: 38,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.33 : 49,376.74 = 25,474.23 : x
  2. Step 2: Convert to fraction form
    32,952.33/49,376.74 = 25,474.23/x
  3. Step 3: Cross multiply
    32,952.33x = 49,376.74 × 25,474.23
  4. Step 4: Simplify right side
    32,952.33x = 1,257,834,304.04
  5. Step 5: Solve for x
    x = 1,257,834,304.04/32,952.33
  6. Step 6: Final answer
    x = 38,171.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.