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Finding the Fourth Proportional to 36,411.94, 50,221.65 and 27,459.82

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Solution

The fourth proportional to 36,411.94, 50,221.65 and 27,459.82 is: 37,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,411.94 : 50,221.65 = 27,459.82 : x
  2. Step 2: Convert to fraction form
    36,411.94/50,221.65 = 27,459.82/x
  3. Step 3: Cross multiply
    36,411.94x = 50,221.65 × 27,459.82
  4. Step 4: Simplify right side
    36,411.94x = 1,379,077,469.10
  5. Step 5: Solve for x
    x = 1,379,077,469.10/36,411.94
  6. Step 6: Final answer
    x = 37,874.32

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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.