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Finding the Fourth Proportional to 37,682.47, 51,991.16 and 24,261.49

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Solution

The fourth proportional to 37,682.47, 51,991.16 and 24,261.49 is: 33,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682.47 : 51,991.16 = 24,261.49 : x
  2. Step 2: Convert to fraction form
    37,682.47/51,991.16 = 24,261.49/x
  3. Step 3: Cross multiply
    37,682.47x = 51,991.16 × 24,261.49
  4. Step 4: Simplify right side
    37,682.47x = 1,261,383,008.43
  5. Step 5: Solve for x
    x = 1,261,383,008.43/37,682.47
  6. Step 6: Final answer
    x = 33,474.00

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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.