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Finding the Fourth Proportional to 51,867.57, 71,578.67 and 31,724.09

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Solution

The fourth proportional to 51,867.57, 71,578.67 and 31,724.09 is: 43,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,867.57 : 71,578.67 = 31,724.09 : x
  2. Step 2: Convert to fraction form
    51,867.57/71,578.67 = 31,724.09/x
  3. Step 3: Cross multiply
    51,867.57x = 71,578.67 × 31,724.09
  4. Step 4: Simplify right side
    51,867.57x = 2,270,767,652.65
  5. Step 5: Solve for x
    x = 2,270,767,652.65/51,867.57
  6. Step 6: Final answer
    x = 43,780.10

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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.