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Finding the Fourth Proportional to 73,874.25, 110,811.38 and 18,470.25

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Solution

The fourth proportional to 73,874.25, 110,811.38 and 18,470.25 is: 27,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,874.25 : 110,811.38 = 18,470.25 : x
  2. Step 2: Convert to fraction form
    73,874.25/110,811.38 = 18,470.25/x
  3. Step 3: Cross multiply
    73,874.25x = 110,811.38 × 18,470.25
  4. Step 4: Simplify right side
    73,874.25x = 2,046,713,799.09
  5. Step 5: Solve for x
    x = 2,046,713,799.09/73,874.25
  6. Step 6: Final answer
    x = 27,705.38

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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.