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Finding the Fourth Proportional to 82,049.72, 113,234.58 and 45,753.62

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Solution

The fourth proportional to 82,049.72, 113,234.58 and 45,753.62 is: 63,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.72 : 113,234.58 = 45,753.62 : x
  2. Step 2: Convert to fraction form
    82,049.72/113,234.58 = 45,753.62/x
  3. Step 3: Cross multiply
    82,049.72x = 113,234.58 × 45,753.62
  4. Step 4: Simplify right side
    82,049.72x = 5,180,891,378.01
  5. Step 5: Solve for x
    x = 5,180,891,378.01/82,049.72
  6. Step 6: Final answer
    x = 63,143.32

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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.