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Finding the Fourth Proportional to 37,849, 52,233.24 and 21,082

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Solution

The fourth proportional to 37,849, 52,233.24 and 21,082 is: 29,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,849 : 52,233.24 = 21,082 : x
  2. Step 2: Convert to fraction form
    37,849/52,233.24 = 21,082/x
  3. Step 3: Cross multiply
    37,849x = 52,233.24 × 21,082
  4. Step 4: Simplify right side
    37,849x = 1,101,181,165.68
  5. Step 5: Solve for x
    x = 1,101,181,165.68/37,849
  6. Step 6: Final answer
    x = 29,094.06

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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.