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Finding the Fourth Proportional to 57,898, 86,786.36 and 26,753.68

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Solution

The fourth proportional to 57,898, 86,786.36 and 26,753.68 is: 40,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,898 : 86,786.36 = 26,753.68 : x
  2. Step 2: Convert to fraction form
    57,898/86,786.36 = 26,753.68/x
  3. Step 3: Cross multiply
    57,898x = 86,786.36 × 26,753.68
  4. Step 4: Simplify right side
    57,898x = 2,321,854,503.80
  5. Step 5: Solve for x
    x = 2,321,854,503.80/57,898
  6. Step 6: Final answer
    x = 40,102.50

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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.