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Finding the Fourth Proportional to 75,855.98, 113,773.98 and 22,546.82

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Solution

The fourth proportional to 75,855.98, 113,773.98 and 22,546.82 is: 33,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.98 : 113,773.98 = 22,546.82 : x
  2. Step 2: Convert to fraction form
    75,855.98/113,773.98 = 22,546.82/x
  3. Step 3: Cross multiply
    75,855.98x = 113,773.98 × 22,546.82
  4. Step 4: Simplify right side
    75,855.98x = 2,565,241,447.74
  5. Step 5: Solve for x
    x = 2,565,241,447.74/75,855.98
  6. Step 6: Final answer
    x = 33,817.26

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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.