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Finding the Fourth Proportional to 37,716.33, 52,057.89 and 21,810

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Solution

The fourth proportional to 37,716.33, 52,057.89 and 21,810 is: 30,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,716.33 : 52,057.89 = 21,810 : x
  2. Step 2: Convert to fraction form
    37,716.33/52,057.89 = 21,810/x
  3. Step 3: Cross multiply
    37,716.33x = 52,057.89 × 21,810
  4. Step 4: Simplify right side
    37,716.33x = 1,135,382,580.90
  5. Step 5: Solve for x
    x = 1,135,382,580.90/37,716.33
  6. Step 6: Final answer
    x = 30,103.21

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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.