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Finding the Fourth Proportional to 31,677.34, 43,724.46 and 18,257.53

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Solution

The fourth proportional to 31,677.34, 43,724.46 and 18,257.53 is: 25,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.34 : 43,724.46 = 18,257.53 : x
  2. Step 2: Convert to fraction form
    31,677.34/43,724.46 = 18,257.53/x
  3. Step 3: Cross multiply
    31,677.34x = 43,724.46 × 18,257.53
  4. Step 4: Simplify right side
    31,677.34x = 798,300,455.65
  5. Step 5: Solve for x
    x = 798,300,455.65/31,677.34
  6. Step 6: Final answer
    x = 25,200.99

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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.