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Finding the Fourth Proportional to 82,134, 113,344.72 and 44,408.25

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Solution

The fourth proportional to 82,134, 113,344.72 and 44,408.25 is: 61,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134 : 113,344.72 = 44,408.25 : x
  2. Step 2: Convert to fraction form
    82,134/113,344.72 = 44,408.25/x
  3. Step 3: Cross multiply
    82,134x = 113,344.72 × 44,408.25
  4. Step 4: Simplify right side
    82,134x = 5,033,440,550.92
  5. Step 5: Solve for x
    x = 5,033,440,550.92/82,134
  6. Step 6: Final answer
    x = 61,283.28

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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.