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Finding the Fourth Proportional to 82,325, 113,613.36 and 46,514.09

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Solution

The fourth proportional to 82,325, 113,613.36 and 46,514.09 is: 64,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,325 : 113,613.36 = 46,514.09 : x
  2. Step 2: Convert to fraction form
    82,325/113,613.36 = 46,514.09/x
  3. Step 3: Cross multiply
    82,325x = 113,613.36 × 46,514.09
  4. Step 4: Simplify right side
    82,325x = 5,284,622,052.24
  5. Step 5: Solve for x
    x = 5,284,622,052.24/82,325
  6. Step 6: Final answer
    x = 64,192.19

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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.