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Finding the Fourth Proportional to 85,676.40, 128,514.60 and 57,682.80

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Solution

The fourth proportional to 85,676.40, 128,514.60 and 57,682.80 is: 86,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,676.40 : 128,514.60 = 57,682.80 : x
  2. Step 2: Convert to fraction form
    85,676.40/128,514.60 = 57,682.80/x
  3. Step 3: Cross multiply
    85,676.40x = 128,514.60 × 57,682.80
  4. Step 4: Simplify right side
    85,676.40x = 7,413,081,968.88
  5. Step 5: Solve for x
    x = 7,413,081,968.88/85,676.40
  6. Step 6: Final answer
    x = 86,524.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.