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Finding the Fourth Proportional to 37,654.56, 51,970.68 and 21,738.06

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Solution

The fourth proportional to 37,654.56, 51,970.68 and 21,738.06 is: 30,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,654.56 : 51,970.68 = 21,738.06 : x
  2. Step 2: Convert to fraction form
    37,654.56/51,970.68 = 21,738.06/x
  3. Step 3: Cross multiply
    37,654.56x = 51,970.68 × 21,738.06
  4. Step 4: Simplify right side
    37,654.56x = 1,129,741,760.08
  5. Step 5: Solve for x
    x = 1,129,741,760.08/37,654.56
  6. Step 6: Final answer
    x = 30,002.79

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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.