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Finding the Fourth Proportional to 82,764, 124,165.44 and 27,360

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Solution

The fourth proportional to 82,764, 124,165.44 and 27,360 is: 41,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764 : 124,165.44 = 27,360 : x
  2. Step 2: Convert to fraction form
    82,764/124,165.44 = 27,360/x
  3. Step 3: Cross multiply
    82,764x = 124,165.44 × 27,360
  4. Step 4: Simplify right side
    82,764x = 3,397,166,438.40
  5. Step 5: Solve for x
    x = 3,397,166,438.40/82,764
  6. Step 6: Final answer
    x = 41,046.43

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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.