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Finding the Fourth Proportional to 53,855.98, 74,319.80 and 29,982.66

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Solution

The fourth proportional to 53,855.98, 74,319.80 and 29,982.66 is: 41,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,855.98 : 74,319.80 = 29,982.66 : x
  2. Step 2: Convert to fraction form
    53,855.98/74,319.80 = 29,982.66/x
  3. Step 3: Cross multiply
    53,855.98x = 74,319.80 × 29,982.66
  4. Step 4: Simplify right side
    53,855.98x = 2,228,305,369.62
  5. Step 5: Solve for x
    x = 2,228,305,369.62/53,855.98
  6. Step 6: Final answer
    x = 41,375.27

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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.