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Finding the Fourth Proportional to 82,612, 113,952.54 and 65,884.96

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Solution

The fourth proportional to 82,612, 113,952.54 and 65,884.96 is: 90,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,612 : 113,952.54 = 65,884.96 : x
  2. Step 2: Convert to fraction form
    82,612/113,952.54 = 65,884.96/x
  3. Step 3: Cross multiply
    82,612x = 113,952.54 × 65,884.96
  4. Step 4: Simplify right side
    82,612x = 7,507,758,539.80
  5. Step 5: Solve for x
    x = 7,507,758,539.80/82,612
  6. Step 6: Final answer
    x = 90,879.76

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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.