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Finding the Fourth Proportional to 82,363.98, 113,662.44 and 44,638.24

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Solution

The fourth proportional to 82,363.98, 113,662.44 and 44,638.24 is: 61,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,363.98 : 113,662.44 = 44,638.24 : x
  2. Step 2: Convert to fraction form
    82,363.98/113,662.44 = 44,638.24/x
  3. Step 3: Cross multiply
    82,363.98x = 113,662.44 × 44,638.24
  4. Step 4: Simplify right side
    82,363.98x = 5,073,691,275.71
  5. Step 5: Solve for x
    x = 5,073,691,275.71/82,363.98
  6. Step 6: Final answer
    x = 61,600.85

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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.