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Finding the Fourth Proportional to 39,702.75, 54,786.52 and 21,797.13

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Solution

The fourth proportional to 39,702.75, 54,786.52 and 21,797.13 is: 30,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702.75 : 54,786.52 = 21,797.13 : x
  2. Step 2: Convert to fraction form
    39,702.75/54,786.52 = 21,797.13/x
  3. Step 3: Cross multiply
    39,702.75x = 54,786.52 × 21,797.13
  4. Step 4: Simplify right side
    39,702.75x = 1,194,189,131.38
  5. Step 5: Solve for x
    x = 1,194,189,131.38/39,702.75
  6. Step 6: Final answer
    x = 30,078.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.