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Finding the Fourth Proportional to 45,991.98, 63,469.50 and 27,842.46

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Solution

The fourth proportional to 45,991.98, 63,469.50 and 27,842.46 is: 38,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,991.98 : 63,469.50 = 27,842.46 : x
  2. Step 2: Convert to fraction form
    45,991.98/63,469.50 = 27,842.46/x
  3. Step 3: Cross multiply
    45,991.98x = 63,469.50 × 27,842.46
  4. Step 4: Simplify right side
    45,991.98x = 1,767,147,067.17
  5. Step 5: Solve for x
    x = 1,767,147,067.17/45,991.98
  6. Step 6: Final answer
    x = 38,422.94

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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.