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Finding the Fourth Proportional to 54,251.75, 81,421.77 and 27,964.01

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Solution

The fourth proportional to 54,251.75, 81,421.77 and 27,964.01 is: 41,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,251.75 : 81,421.77 = 27,964.01 : x
  2. Step 2: Convert to fraction form
    54,251.75/81,421.77 = 27,964.01/x
  3. Step 3: Cross multiply
    54,251.75x = 81,421.77 × 27,964.01
  4. Step 4: Simplify right side
    54,251.75x = 2,276,879,190.50
  5. Step 5: Solve for x
    x = 2,276,879,190.50/54,251.75
  6. Step 6: Final answer
    x = 41,968.77

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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.