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Finding the Fourth Proportional to 55,291.56, 82,912.94 and 15,839.72

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Solution

The fourth proportional to 55,291.56, 82,912.94 and 15,839.72 is: 23,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,291.56 : 82,912.94 = 15,839.72 : x
  2. Step 2: Convert to fraction form
    55,291.56/82,912.94 = 15,839.72/x
  3. Step 3: Cross multiply
    55,291.56x = 82,912.94 × 15,839.72
  4. Step 4: Simplify right side
    55,291.56x = 1,313,317,753.98
  5. Step 5: Solve for x
    x = 1,313,317,753.98/55,291.56
  6. Step 6: Final answer
    x = 23,752.59

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Why These Related Problems?

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