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Finding the Fourth Proportional to 82,832.16, 114,308.56 and 45,105.60

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Solution

The fourth proportional to 82,832.16, 114,308.56 and 45,105.60 is: 62,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.16 : 114,308.56 = 45,105.60 : x
  2. Step 2: Convert to fraction form
    82,832.16/114,308.56 = 45,105.60/x
  3. Step 3: Cross multiply
    82,832.16x = 114,308.56 × 45,105.60
  4. Step 4: Simplify right side
    82,832.16x = 5,155,956,183.94
  5. Step 5: Solve for x
    x = 5,155,956,183.94/82,832.16
  6. Step 6: Final answer
    x = 62,245.83

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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.