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Finding the Fourth Proportional to 82,323, 113,610.60 and 46,512.09

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Solution

The fourth proportional to 82,323, 113,610.60 and 46,512.09 is: 64,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323 : 113,610.60 = 46,512.09 : x
  2. Step 2: Convert to fraction form
    82,323/113,610.60 = 46,512.09/x
  3. Step 3: Cross multiply
    82,323x = 113,610.60 × 46,512.09
  4. Step 4: Simplify right side
    82,323x = 5,284,266,452.15
  5. Step 5: Solve for x
    x = 5,284,266,452.15/82,323
  6. Step 6: Final answer
    x = 64,189.43

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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.