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Finding the Fourth Proportional to 54,482.56, 81,748.50 and 27,814.79

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Solution

The fourth proportional to 54,482.56, 81,748.50 and 27,814.79 is: 41,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,482.56 : 81,748.50 = 27,814.79 : x
  2. Step 2: Convert to fraction form
    54,482.56/81,748.50 = 27,814.79/x
  3. Step 3: Cross multiply
    54,482.56x = 81,748.50 × 27,814.79
  4. Step 4: Simplify right side
    54,482.56x = 2,273,817,460.38
  5. Step 5: Solve for x
    x = 2,273,817,460.38/54,482.56
  6. Step 6: Final answer
    x = 41,734.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.