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Finding the Fourth Proportional to 57,197.06, 85,894 and 54,736.68

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Solution

The fourth proportional to 57,197.06, 85,894 and 54,736.68 is: 82,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.06 : 85,894 = 54,736.68 : x
  2. Step 2: Convert to fraction form
    57,197.06/85,894 = 54,736.68/x
  3. Step 3: Cross multiply
    57,197.06x = 85,894 × 54,736.68
  4. Step 4: Simplify right side
    57,197.06x = 4,701,552,391.92
  5. Step 5: Solve for x
    x = 4,701,552,391.92/57,197.06
  6. Step 6: Final answer
    x = 82,199.20

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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.