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Finding the Fourth Proportional to 82,027.09, 113,197.30 and 44,301.34

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Solution

The fourth proportional to 82,027.09, 113,197.30 and 44,301.34 is: 61,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027.09 : 113,197.30 = 44,301.34 : x
  2. Step 2: Convert to fraction form
    82,027.09/113,197.30 = 44,301.34/x
  3. Step 3: Cross multiply
    82,027.09x = 113,197.30 × 44,301.34
  4. Step 4: Simplify right side
    82,027.09x = 5,014,792,074.38
  5. Step 5: Solve for x
    x = 5,014,792,074.38/82,027.09
  6. Step 6: Final answer
    x = 61,135.80

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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.