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Finding the Fourth Proportional to 37,814, 52,183.32 and 21,046.64

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Solution

The fourth proportional to 37,814, 52,183.32 and 21,046.64 is: 29,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,814 : 52,183.32 = 21,046.64 : x
  2. Step 2: Convert to fraction form
    37,814/52,183.32 = 21,046.64/x
  3. Step 3: Cross multiply
    37,814x = 52,183.32 × 21,046.64
  4. Step 4: Simplify right side
    37,814x = 1,098,283,550.04
  5. Step 5: Solve for x
    x = 1,098,283,550.04/37,814
  6. Step 6: Final answer
    x = 29,044.36

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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.