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Finding the Fourth Proportional to 82,134, 113,344.92 and 44,408.28

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Solution

The fourth proportional to 82,134, 113,344.92 and 44,408.28 is: 61,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134 : 113,344.92 = 44,408.28 : x
  2. Step 2: Convert to fraction form
    82,134/113,344.92 = 44,408.28/x
  3. Step 3: Cross multiply
    82,134x = 113,344.92 × 44,408.28
  4. Step 4: Simplify right side
    82,134x = 5,033,452,943.94
  5. Step 5: Solve for x
    x = 5,033,452,943.94/82,134
  6. Step 6: Final answer
    x = 61,283.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.