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Finding the Fourth Proportional to 82,150.08, 113,396.16 and 48,616

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Solution

The fourth proportional to 82,150.08, 113,396.16 and 48,616 is: 67,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,150.08 : 113,396.16 = 48,616 : x
  2. Step 2: Convert to fraction form
    82,150.08/113,396.16 = 48,616/x
  3. Step 3: Cross multiply
    82,150.08x = 113,396.16 × 48,616
  4. Step 4: Simplify right side
    82,150.08x = 5,512,867,714.56
  5. Step 5: Solve for x
    x = 5,512,867,714.56/82,150.08
  6. Step 6: Final answer
    x = 67,107.27

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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.