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Finding the Fourth Proportional to 51,952.32, 71,690.08 and 31,800.80

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Solution

The fourth proportional to 51,952.32, 71,690.08 and 31,800.80 is: 43,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952.32 : 71,690.08 = 31,800.80 : x
  2. Step 2: Convert to fraction form
    51,952.32/71,690.08 = 31,800.80/x
  3. Step 3: Cross multiply
    51,952.32x = 71,690.08 × 31,800.80
  4. Step 4: Simplify right side
    51,952.32x = 2,279,801,896.06
  5. Step 5: Solve for x
    x = 2,279,801,896.06/51,952.32
  6. Step 6: Final answer
    x = 43,882.58

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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.