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Finding the Fourth Proportional to 36,086.67, 54,122.71 and 9,785.16

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Solution

The fourth proportional to 36,086.67, 54,122.71 and 9,785.16 is: 14,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,086.67 : 54,122.71 = 9,785.16 : x
  2. Step 2: Convert to fraction form
    36,086.67/54,122.71 = 9,785.16/x
  3. Step 3: Cross multiply
    36,086.67x = 54,122.71 × 9,785.16
  4. Step 4: Simplify right side
    36,086.67x = 529,599,376.98
  5. Step 5: Solve for x
    x = 529,599,376.98/36,086.67
  6. Step 6: Final answer
    x = 14,675.76

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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.