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Finding the Fourth Proportional to 82,354.92, 113,589.78 and 52,145.16

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Solution

The fourth proportional to 82,354.92, 113,589.78 and 52,145.16 is: 71,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354.92 : 113,589.78 = 52,145.16 : x
  2. Step 2: Convert to fraction form
    82,354.92/113,589.78 = 52,145.16/x
  3. Step 3: Cross multiply
    82,354.92x = 113,589.78 × 52,145.16
  4. Step 4: Simplify right side
    82,354.92x = 5,923,157,252.46
  5. Step 5: Solve for x
    x = 5,923,157,252.46/82,354.92
  6. Step 6: Final answer
    x = 71,922.32

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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.