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Finding the Fourth Proportional to 54,936.40, 82,393.80 and 18,000.40

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Solution

The fourth proportional to 54,936.40, 82,393.80 and 18,000.40 is: 26,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,936.40 : 82,393.80 = 18,000.40 : x
  2. Step 2: Convert to fraction form
    54,936.40/82,393.80 = 18,000.40/x
  3. Step 3: Cross multiply
    54,936.40x = 82,393.80 × 18,000.40
  4. Step 4: Simplify right side
    54,936.40x = 1,483,121,357.52
  5. Step 5: Solve for x
    x = 1,483,121,357.52/54,936.40
  6. Step 6: Final answer
    x = 26,997.06

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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.