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Finding the Fourth Proportional to 54,980.96, 82,470.83 and 13,427.96

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Solution

The fourth proportional to 54,980.96, 82,470.83 and 13,427.96 is: 20,141.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,980.96 : 82,470.83 = 13,427.96 : x
  2. Step 2: Convert to fraction form
    54,980.96/82,470.83 = 13,427.96/x
  3. Step 3: Cross multiply
    54,980.96x = 82,470.83 × 13,427.96
  4. Step 4: Simplify right side
    54,980.96x = 1,107,415,006.41
  5. Step 5: Solve for x
    x = 1,107,415,006.41/54,980.96
  6. Step 6: Final answer
    x = 20,141.79

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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.