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Finding the Fourth Proportional to 54,314.30, 81,471.45 and 49,648.70

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Solution

The fourth proportional to 54,314.30, 81,471.45 and 49,648.70 is: 74,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,314.30 : 81,471.45 = 49,648.70 : x
  2. Step 2: Convert to fraction form
    54,314.30/81,471.45 = 49,648.70/x
  3. Step 3: Cross multiply
    54,314.30x = 81,471.45 × 49,648.70
  4. Step 4: Simplify right side
    54,314.30x = 4,044,951,579.62
  5. Step 5: Solve for x
    x = 4,044,951,579.62/54,314.30
  6. Step 6: Final answer
    x = 74,473.05

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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.