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Finding the Fourth Proportional to 95,781.66, 143,695 and 29,221.80

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Solution

The fourth proportional to 95,781.66, 143,695 and 29,221.80 is: 43,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,781.66 : 143,695 = 29,221.80 : x
  2. Step 2: Convert to fraction form
    95,781.66/143,695 = 29,221.80/x
  3. Step 3: Cross multiply
    95,781.66x = 143,695 × 29,221.80
  4. Step 4: Simplify right side
    95,781.66x = 4,199,026,551
  5. Step 5: Solve for x
    x = 4,199,026,551/95,781.66
  6. Step 6: Final answer
    x = 43,839.57

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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.