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Finding the Fourth Proportional to 48,620.25, 72,952.25 and 27,843.75

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Solution

The fourth proportional to 48,620.25, 72,952.25 and 27,843.75 is: 41,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,620.25 : 72,952.25 = 27,843.75 : x
  2. Step 2: Convert to fraction form
    48,620.25/72,952.25 = 27,843.75/x
  3. Step 3: Cross multiply
    48,620.25x = 72,952.25 × 27,843.75
  4. Step 4: Simplify right side
    48,620.25x = 2,031,264,071.72
  5. Step 5: Solve for x
    x = 2,031,264,071.72/48,620.25
  6. Step 6: Final answer
    x = 41,778.15

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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.