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Finding the Fourth Proportional to 54,104.70, 81,157.05 and 40,982.70

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Solution

The fourth proportional to 54,104.70, 81,157.05 and 40,982.70 is: 61,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,104.70 : 81,157.05 = 40,982.70 : x
  2. Step 2: Convert to fraction form
    54,104.70/81,157.05 = 40,982.70/x
  3. Step 3: Cross multiply
    54,104.70x = 81,157.05 × 40,982.70
  4. Step 4: Simplify right side
    54,104.70x = 3,326,035,033.04
  5. Step 5: Solve for x
    x = 3,326,035,033.04/54,104.70
  6. Step 6: Final answer
    x = 61,474.05

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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.