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Finding the Fourth Proportional to 82,520.56, 113,880.72 and 44,797.24

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Solution

The fourth proportional to 82,520.56, 113,880.72 and 44,797.24 is: 61,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,520.56 : 113,880.72 = 44,797.24 : x
  2. Step 2: Convert to fraction form
    82,520.56/113,880.72 = 44,797.24/x
  3. Step 3: Cross multiply
    82,520.56x = 113,880.72 × 44,797.24
  4. Step 4: Simplify right side
    82,520.56x = 5,101,541,945.21
  5. Step 5: Solve for x
    x = 5,101,541,945.21/82,520.56
  6. Step 6: Final answer
    x = 61,821.47

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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.