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Finding the Fourth Proportional to 82,812, 124,237.44 and 27,408

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Solution

The fourth proportional to 82,812, 124,237.44 and 27,408 is: 41,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812 : 124,237.44 = 27,408 : x
  2. Step 2: Convert to fraction form
    82,812/124,237.44 = 27,408/x
  3. Step 3: Cross multiply
    82,812x = 124,237.44 × 27,408
  4. Step 4: Simplify right side
    82,812x = 3,405,099,755.52
  5. Step 5: Solve for x
    x = 3,405,099,755.52/82,812
  6. Step 6: Final answer
    x = 41,118.43

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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.