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Finding the Fourth Proportional to 75,755.82, 104,543.55 and 42,223.98

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Solution

The fourth proportional to 75,755.82, 104,543.55 and 42,223.98 is: 58,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,755.82 : 104,543.55 = 42,223.98 : x
  2. Step 2: Convert to fraction form
    75,755.82/104,543.55 = 42,223.98/x
  3. Step 3: Cross multiply
    75,755.82x = 104,543.55 × 42,223.98
  4. Step 4: Simplify right side
    75,755.82x = 4,414,244,764.33
  5. Step 5: Solve for x
    x = 4,414,244,764.33/75,755.82
  6. Step 6: Final answer
    x = 58,269.38

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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.